CN112131639B - A Numerical Simulation Method of High-speed Train Tunnel with High Ground Temperature - Google Patents

A Numerical Simulation Method of High-speed Train Tunnel with High Ground Temperature Download PDF

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CN112131639B
CN112131639B CN202010953110.5A CN202010953110A CN112131639B CN 112131639 B CN112131639 B CN 112131639B CN 202010953110 A CN202010953110 A CN 202010953110A CN 112131639 B CN112131639 B CN 112131639B
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王田天
钱博森
王军彦
张雷
伍钒
杨明智
周丹
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Abstract

The invention discloses a numerical simulation method for a high-speed train over-high ground temperature tunnel, which comprises the following steps: carrying out three-dimensional modeling on the tunnel and the train to obtain a three-dimensional model; importing the three-dimensional model into grid discrete software, and carrying out grid discrete division on the three-dimensional model by utilizing the grid discrete software to obtain a discrete model; importing a discrete model derived from grid discrete software into CFD simulation software to obtain a mathematical computation model; setting boundary conditions of the mathematical computation model in CFD simulation software; when boundary conditions are set, the initial temperature of the ground temperature in the tunnel model along the length direction is set by using a UDF program; and calculating and obtaining a pressure change curve at a specified position on the inner wall of the tunnel model and/or the outer surface of the train model based on the mathematical calculation model. According to the invention, through the research on the temperature field and the pressure transient of the high-ground-temperature tunnel, the influence of the high ground temperature on the pressure transient of the railway tunnel can be obtained, and a scientific basis is provided for the aerodynamic research in the high-ground-temperature environment.

Description

一种高速列车过高地温隧道的数值仿真方法A Numerical Simulation Method of High-speed Train Tunnel with High Ground Temperature

技术领域technical field

本发明属于数值仿真方法技术领域，特别涉及一种高速列车过高地温隧道的数值仿真方法。The invention belongs to the technical field of numerical simulation methods, and particularly relates to a numerical simulation method of a high-speed train tunnel with high ground temperature.

背景技术Background technique

当列车穿越高温差铁路隧道时，由列车-隧道-运行环境构成的强非线性系统会产生复杂的空气动力学动态响应：高温差、气体可压将导致音速变化，极易引起隧道内压力波动的剧变，当压力波动传入车内，容易引起乘客不适，严重影响乘客舒适性。When a train passes through a railway tunnel with high temperature difference, the strong nonlinear system composed of train-tunnel-operating environment will produce complex aerodynamic dynamic response: high temperature difference and gas compressibility will lead to changes in the speed of sound, which can easily cause pressure fluctuations in the tunnel When the pressure fluctuations are introduced into the car, it is easy to cause discomfort to the passengers and seriously affect the comfort of the passengers.

规划建设的川藏铁路大部分路段位于青藏高原，全线有多座隧道，其中有10座高地热隧道，岩石最高温可达86.0℃(桑珠岭隧道)，隧道内空气温度可达56℃，隧道外空气在极端条件下可达零下三十多度，因此在隧道内外会形成很大的温度差。Most of the planned sections of the Sichuan-Tibet Railway are located on the Qinghai-Tibet Plateau. There are many tunnels along the line, including 10 high-geothermal tunnels. The maximum temperature of the rock can reach 86.0 °C (Sangzhuling Tunnel), and the air temperature in the tunnel can reach 56 °C. The outside air can reach minus 30 degrees under extreme conditions, so a large temperature difference will be formed inside and outside the tunnel.

目前的铁路隧道空气动力学问题研究主要集中在常温下列车穿越隧道的流场演变、列车及隧道参数的影响规律等方面。对于川藏铁路沿线的极端环境和铁路长大隧道形成的低气压、高温差、长隧道等环境特征，目前为止还未有针对流、热、固耦合研究。The current research on the aerodynamics of railway tunnels mainly focuses on the evolution of the flow field of the train passing through the tunnel at room temperature, and the influence law of the parameters of the train and the tunnel. For the extreme environment along the Sichuan-Tibet Railway and the environmental characteristics such as low pressure, high temperature difference, and long tunnels formed by long railway tunnels, there has been no research on flow, heat, and solid coupling.

由于实验研究的局限性和高昂的成本等原因，目前的有关研究主要集中在数值仿真方面，通过数值仿真同样可以得到可靠精确的计算结果，因此通过数值仿真的方法研究高地温环境下的列车过隧道的热-流耦合问题也是一种较为经济实用的方法。Due to the limitations of experimental research and high cost, the current related research mainly focuses on numerical simulation, and reliable and accurate calculation results can also be obtained through numerical simulation. The heat-flow coupling problem of the tunnel is also an economical and practical method.

综上，目前直接针对高温差的铁路隧道瞬变压力的演化机理与影响参数敏感性问题的数值仿真研究未见报道，亟待开展相应的高地温隧道数值仿真研究工作。To sum up, there has been no report on the numerical simulation research on the evolution mechanism of the transient pressure of railway tunnels with high temperature difference and on the sensitivity of the parameters affecting the parameters.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于，为了填补目前对于高速列车过高地温隧道的数值仿真方法研究的空白，提供一种高速列车过高地温隧道的数值仿真方法，通过对高地温隧道温度场和压力瞬变的研究，可以得出高地温对铁路隧道压力瞬变的影响，为高地热环境下的空气动力学研究提供科学依据。The purpose of the present invention is to provide a numerical simulation method for high-speed train tunnels with high ground temperature in order to fill the gap of the current research on numerical simulation methods for high-speed train tunnels with high ground temperature. Through the research, the influence of high ground temperature on the pressure transient of railway tunnel can be obtained, which can provide a scientific basis for aerodynamic research in high ground thermal environment.

为解决上述技术问题，本发明所采用的技术方案是：For solving the above-mentioned technical problems, the technical scheme adopted in the present invention is:

一种高速列车过高地温隧道的数值仿真方法，其特点是包括以下步骤：A numerical simulation method for a high-speed train tunnel with high ground temperature, which is characterized by comprising the following steps:

步骤A，对隧道和列车进行三维建模，获得三维模型；In step A, three-dimensional modeling of the tunnel and the train is performed to obtain a three-dimensional model;

步骤B，将所述三维模型导入网格离散软件，并利用网格离散软件对所述三维模型进行网格离散划分，获得离散模型；Step B, importing the three-dimensional model into grid discrete software, and using the grid discrete software to perform grid discrete division on the three-dimensional model to obtain a discrete model;

步骤C，将从网格离散软件中导出的离散模型导入CFD仿真软件，获得数学计算模型；Step C, import the discrete model derived from the grid discrete software into the CFD simulation software to obtain a mathematical calculation model;

步骤D，在CFD仿真软件内对所述数学计算模型进行边界条件设置；其中，进行边界条件设置时，包括利用UDF程序对隧道模型内沿长度方向的地温初始温度进行设置；Step D, in the CFD simulation software, carry out boundary condition setting to the mathematical calculation model; wherein, when carrying out the boundary condition setting, including using UDF program to set the ground temperature initial temperature along the length direction in the tunnel model;

基于数学计算模型计算获得隧道模型内壁和/或列车模型外表面上指定位置处的压力变化曲线。The pressure change curve at a specified position on the inner wall of the tunnel model and/or the outer surface of the train model is calculated and obtained based on the mathematical calculation model.

作为一种优选方式，隧道模型内的地温初始温度沿长度方向变化或不变。As a preferred way, the initial temperature of the ground temperature in the tunnel model varies or does not change along the length direction.

作为一种优选方式，隧道模型内的地温初始温度沿长度方向连续变化或者非连续变化。As a preferred manner, the initial temperature of the ground temperature in the tunnel model changes continuously or discontinuously along the length direction.

作为一种优选方式，隧道模型内的地温初始温度沿长度方向呈抛物线状变化。As a preferred way, the initial temperature of the ground temperature in the tunnel model changes in a parabolic shape along the length direction.

由于温度场的特殊性，为了实现计算的收敛与结果的可靠性，作为一种优选方式，所述步骤D包括：Due to the particularity of the temperature field, in order to achieve the convergence of the calculation and the reliability of the result, as a preferred method, the step D includes:

步骤D1，列车模型以低于试验速度V0的速度V1在隧道模型外滑行，不对隧道模型内加热，基于数学计算模型计算判断隧道模型内外流场是否达到稳定状态，在隧道模型内外流场达到稳定状态时跳转至步骤D2；In step D1, the train model slides outside the tunnel model at a speed V1 lower than the test speed V0 without heating the tunnel model. Based on the mathematical calculation model, it is determined whether the internal and external flow fields of the tunnel model reach a stable state, and the flow field inside and outside the tunnel model reaches a stable state. Jump to step D2 when in state;

步骤D2，由于隧道模型内空气低速流动会对温度场造成影响，此时列车模型速度设置为0，不对隧道模型加热，基于数学计算模型计算判断隧道模型内的空气流速是否小于0.05m/s(即隧道模型内的空气微小流动)，在隧道模型内的空气流速小于0.05m/s时跳转至步骤D3；空气流速小于0.05m/s时空气流动不会影响温度场分布，此时可以进行隧道加热；In step D2, since the low-speed air flow in the tunnel model will affect the temperature field, the speed of the train model is set to 0 at this time, and the tunnel model is not heated. Based on the mathematical calculation model, it is determined whether the air velocity in the tunnel model is less than 0.05m/s ( That is, the small air flow in the tunnel model), jump to step D3 when the air velocity in the tunnel model is less than 0.05m/s; when the air velocity is less than 0.05m/s, the air flow will not affect the temperature field distribution, and the process can be carried out at this time. Tunnel heating;

步骤D3，列车模型速度设置为0，以设定的地温初始温度对隧道模型启动加热，并根据温度监测数据判断隧道模型指定点的温度是否达到实验所需预设目标温度，在隧道模型指定点的温度达到预设目标温度时跳转至步骤D4；In step D3, the speed of the train model is set to 0, and the tunnel model is heated at the set initial ground temperature, and according to the temperature monitoring data, it is judged whether the temperature of the designated point of the tunnel model reaches the preset target temperature required by the experiment, and the designated point of the tunnel model is used to determine whether the temperature reaches the preset target temperature required by the experiment. When the temperature reaches the preset target temperature, jump to step D4;

步骤D4，继续对隧道模型加热，同时列车模型以试验速度V0通过隧道模型，基于数学计算模型计算获得隧道模型内壁和/或列车模型外表面上指定位置处的压力变化曲线。Step D4, continue to heat the tunnel model, while the train model passes through the tunnel model at the test speed V0, and calculates and obtains the pressure change curve at the specified position on the inner wall of the tunnel model and/or the outer surface of the train model based on the mathematical calculation model.

进一步地，还包括：Further, it also includes:

步骤E，对应不同的地温初始温度，重复步骤A～步骤D，监测不同的地温初始温度条件下隧道模型内指定点的温度变化，获得隧道模型内壁和/或列车模型外表面上指定位置在不同地温初始温度条件下的压力传播规律，以及不同地温初始温度对压力峰值波动的影响权重。Step E, corresponding to different initial ground temperatures, repeat steps A to D, monitor the temperature changes of specified points in the tunnel model under different initial ground temperature conditions, and obtain the specified positions on the inner wall of the tunnel model and/or the outer surface of the train model at different times. The pressure propagation law under the condition of initial geothermal temperature, and the influence weight of different initial geothermal temperature on the pressure peak fluctuation.

作为一种优选方式，步骤D1中，当流入隧道模型的空气量与流出隧道模型的空气量之间的差值在设定范围内时，则判定隧道模型内外流场达到稳定状态。As a preferred way, in step D1, when the difference between the air flow into the tunnel model and the air flow out of the tunnel model is within the set range, it is determined that the flow fields inside and outside the tunnel model reach a stable state.

在计算过程的边界条件设置时，由于温度场的存在需要启动energy选项，为了实现计算的收敛，作为一种优选方式，数学计算模型采用差分格式的具有一阶精度的QUICK格式。When setting the boundary conditions of the calculation process, the energy option needs to be enabled due to the existence of the temperature field. In order to achieve the convergence of the calculation, as a preferred method, the mathematical calculation model adopts the QUICK format with first-order accuracy in the differential format.

与现有技术相比，本发明通过对高地温隧道温度场和压力瞬变的研究，可以得出高地温对铁路隧道压力瞬变的影响，为高地热环境下的空气动力学研究提供科学依据。Compared with the prior art, the present invention can obtain the influence of high ground temperature on the pressure transient of the railway tunnel through the research on the temperature field and pressure transient of the high-geothermal tunnel, and provide a scientific basis for the aerodynamic research in the high-geothermal environment. .

具体实施方式Detailed ways

下面结合实施例对本发明做进一步说明。The present invention will be further described below in conjunction with the embodiments.

本发明方法主要通过CFD仿真软件和UDF程序实现，UDF程序主要进行不同形式地温的输入与控制，从而实现不同地温形式下的数值模拟，最终获得高温环境下的列车与隧道内压力瞬变规律。其中，隧道模型可分为加热区和非加热区，也可以为全部加热。The method of the invention is mainly realized by CFD simulation software and UDF program, and the UDF program mainly performs the input and control of different forms of ground temperature, thereby realizing numerical simulation under different ground temperature forms, and finally obtaining the pressure transient law in trains and tunnels under high temperature environment. Among them, the tunnel model can be divided into a heating area and a non-heating area, and can also be all heated.

具体地，本发明所述高速列车过高地温隧道的数值仿真方法包括以下步骤：Specifically, the numerical simulation method of the high-speed train tunnel with high ground temperature according to the present invention includes the following steps:

步骤A，对隧道和列车进行三维建模，获得三维模型；In step A, three-dimensional modeling of the tunnel and the train is performed to obtain a three-dimensional model;

步骤B，将所述三维模型导入网格离散软件，并利用网格离散软件对所述三维模型进行网格离散划分，获得离散模型；Step B, importing the three-dimensional model into grid discrete software, and using the grid discrete software to perform grid discrete division on the three-dimensional model to obtain a discrete model;

步骤C，将从网格离散软件中导出的离散模型导入CFD仿真软件，获得数学计算模型；Step C, import the discrete model derived from the grid discrete software into the CFD simulation software to obtain a mathematical calculation model;

步骤D，在CFD仿真软件内对所述数学计算模型进行边界条件设置；其中，进行边界条件设置时，包括利用UDF程序对隧道模型内沿长度方向的地温初始温度进行设置；基于数学计算模型计算获得隧道模型内壁和/或列车模型外表面上指定位置处的压力变化曲线。Step D, in the CFD simulation software, set the boundary conditions of the mathematical calculation model; wherein, when the boundary conditions are set, including using the UDF program to set the initial temperature of the ground temperature along the length direction in the tunnel model; based on the mathematical calculation model calculation Obtain the pressure change curve at the specified position on the inner wall of the tunnel model and/or the outer surface of the train model.

边界条件设置需要通过UDF程序控制地温输入，并且根据步骤启动加热项。进行边界条件设置时，通过UDF程序可以输入各种复杂变化的地温初始温度，更加接近现实中各种复杂变化的地温形式，更贴近实际。优选地，隧道模型内的地温初始温度沿长度方向变化或不变。当变化时，隧道模型内的地温初始温度沿长度方向连续变化或者非连续变化，变化规律为抛物线等其它形式。The boundary condition setting needs to control the ground temperature input through the UDF program, and start the heating term according to the steps. When setting the boundary conditions, the initial temperature of the ground temperature with various complex changes can be input through the UDF program, which is closer to the form of the ground temperature with various complex changes in reality and is closer to reality. Preferably, the geothermal initial temperature within the tunnel model varies or does not change along the length. When changing, the initial temperature of the ground temperature in the tunnel model changes continuously or discontinuously along the length direction, and the change rule is parabola and other forms.

在计算过程的边界条件设置时，由于温度场的存在需要启动energy选项，为了实现计算的收敛，数学计算模型采用差分格式的具有一阶精度的QUICK格式。When setting the boundary conditions of the calculation process, the energy option needs to be enabled due to the existence of the temperature field. In order to achieve the convergence of the calculation, the mathematical calculation model adopts the QUICK format with first-order accuracy in the differential format.

由于温度场的特殊性，为了实现计算的收敛与结果的可靠性，所述步骤D包括：Due to the particularity of the temperature field, in order to achieve the convergence of the calculation and the reliability of the result, the step D includes:

步骤D1，列车模型以远低于试验速度V0的速度V1在隧道模型外滑行，不对隧道模型加热，基于数学计算模型计算判断隧道模型内外流场是否达到稳定状态，在隧道模型内外流场达到稳定状态时跳转至步骤D2；速度V1很低，根据需要设定；In step D1, the train model slides outside the tunnel model at a speed V1 much lower than the test speed V0, without heating the tunnel model, and based on the mathematical calculation model, it is determined whether the internal and external flow fields of the tunnel model reach a stable state, and the flow field inside and outside the tunnel model reaches a stable state. Jump to step D2 when it is in the state; the speed V1 is very low, set as needed;

步骤D2，由于隧道模型内空气低速流动会对温度场造成影响，此时列车模型速度设置为0，不对隧道模型内加热，基于数学计算模型计算判断隧道模型内的空气流速是否小于0.05m/s(即隧道模型内的空气微小流动)，在隧道模型内的空气流速小于0.05m/s时跳转至步骤D3；空气流速小于0.05m/s时空气流动不会影响温度场分布，此时可以进行隧道加热；In step D2, since the low-speed air flow in the tunnel model will affect the temperature field, the speed of the train model is set to 0 at this time, and the tunnel model is not heated. Based on the calculation of the mathematical calculation model, it is determined whether the air velocity in the tunnel model is less than 0.05m/s (that is, the small air flow in the tunnel model), jump to step D3 when the air velocity in the tunnel model is less than 0.05m/s; when the air velocity is less than 0.05m/s, the air flow will not affect the temperature field distribution, and you can for tunnel heating;

步骤D3，列车模型速度设置为0，以设定的地温初始温度对隧道模型启动加热，并根据温度监测数据判断隧道模型指定点的温度是否达到实验所需预设目标温度，在隧道模型指定点的温度达到预设目标温度时跳转至步骤D4；In step D3, the speed of the train model is set to 0, and the tunnel model is heated at the set initial ground temperature, and according to the temperature monitoring data, it is judged whether the temperature of the designated point of the tunnel model reaches the preset target temperature required by the experiment, and the designated point of the tunnel model is used to determine whether the temperature reaches the preset target temperature required by the experiment. When the temperature reaches the preset target temperature, jump to step D4;

步骤D4，继续对隧道模型加热，同时列车模型以试验速度V0通过隧道模型，基于数学计算模型计算获得隧道模型内壁和/或列车模型外表面上指定位置处的压力变化曲线。Step D4, continue to heat the tunnel model, while the train model passes through the tunnel model at the test speed V0, and calculates and obtains the pressure change curve at the specified position on the inner wall of the tunnel model and/or the outer surface of the train model based on the mathematical calculation model.

为了分析温度对压力波传播和压力波峰值的影响，本发明还包括：In order to analyze the influence of temperature on pressure wave propagation and pressure wave peak value, the present invention also includes:

步骤E，对应不同的地温初始温度，重复步骤A～步骤D，通过UDF程序监测不同的地温初始温度条件下隧道模型内指定点的温度变化，然后根据具体温度数值得出隧道模型内壁和/或列车模型外表面上指定位置在不同地温初始温度条件下的压力传播规律，以及不同地温初始温度对压力峰值波动的影响权重。Step E, corresponding to different initial ground temperatures, repeat steps A to D, monitor the temperature changes of designated points in the tunnel model under different ground temperature initial temperature conditions through the UDF program, and then obtain the inner wall of the tunnel model and/or according to the specific temperature values. The pressure propagation law of the specified position on the outer surface of the train model under the conditions of different initial geothermal temperatures, and the influence weights of different initial geothermal temperatures on the pressure peak fluctuation.

作为一种优选方式，步骤D1中，当流入隧道模型的空气量与流出隧道模型的空气量之间的差值在设定范围内时，则判定隧道模型内外流场达到稳定状态。As a preferred way, in step D1, when the difference between the air flow into the tunnel model and the air flow out of the tunnel model is within the set range, it is determined that the flow fields inside and outside the tunnel model reach a stable state.

具体实施例中，高速列车动车组选用双层高速动车组，隧道模型采取全部加热方式，利用UDF程序设置边界条件，将隧道模型地温形式设置为沿着隧道模型长度方向输入抛物线增长的初始地温形式，并设置初始地温的加热模式和加热功率。利用上述本发明所述的方法，可以得到高地温温度场下的列车压力瞬变规律，验证了本发明方法的可行性。In the specific embodiment, the high-speed train EMU adopts a double-layer high-speed EMU, the tunnel model adopts all heating methods, and the UDF program is used to set the boundary conditions, and the ground temperature form of the tunnel model is set to input the initial ground temperature form of parabolic growth along the length direction of the tunnel model. , and set the heating mode and heating power of the initial ground temperature. Using the method described in the present invention, the transient law of train pressure in a high ground temperature field can be obtained, which verifies the feasibility of the method of the present invention.

上面对本发明的实施例进行了描述，但是本发明并不局限于上述的具体实施方式，上述的具体实施方式仅仅是示意性的，而不是局限性的，本领域的普通技术人员在本发明的启示下，在不脱离本发明宗旨和权利要求所保护的范围情况下，还可做出很多形式，这些均属于本发明的保护范围之内。The embodiments of the present invention have been described above, but the present invention is not limited to the above-mentioned specific embodiments. The above-mentioned specific embodiments are only illustrative rather than limiting. Under the inspiration, without departing from the scope of protection of the present invention and the claims, many forms can be made, which all fall within the protection scope of the present invention.

Claims (6)

1. A numerical simulation method for a tunnel with a high ground temperature crossed by a high-speed train is characterized by comprising the following steps:
step A, performing three-dimensional modeling on a tunnel and a train to obtain a three-dimensional model;
b, importing the three-dimensional model into grid discrete software, and carrying out grid discrete division on the three-dimensional model by utilizing the grid discrete software to obtain a discrete model;
step C, importing a discrete model derived from grid discrete software into CFD simulation software to obtain a mathematical computation model;
step D, setting boundary conditions of the mathematical computation model in CFD simulation software; setting the initial temperature of the ground temperature in the tunnel model along the length direction by using a UDF program when setting the boundary condition;
calculating and obtaining a pressure change curve at a specified position on the inner wall of the tunnel model and/or the outer surface of the train model based on the mathematical calculation model;
the step D comprises the following steps:
d1, sliding the train model outside the tunnel model at a speed V1 lower than the test speed V0 without heating the inside of the tunnel model, calculating and judging whether the inside and outside flow fields of the tunnel model reach a stable state based on a mathematical calculation model, and jumping to the step D2 when the inside and outside flow fields of the tunnel model reach the stable state;
d2, setting the speed of the train model to be 0, not heating the tunnel model, calculating and judging whether the air flow rate in the tunnel model is less than 0.05m/s or not based on the mathematical calculation model, and jumping to the D3 when the air flow rate in the tunnel model is less than 0.05 m/s;
d3, setting the speed of the train model to be 0, starting and heating the tunnel model at the set ground temperature initial temperature, judging whether the temperature of the specified point of the tunnel model reaches the preset target temperature required by the experiment according to the temperature monitoring data, and jumping to the step D4 when the temperature of the specified point of the tunnel model reaches the preset target temperature;
d4, continuing to heat the tunnel model, enabling the train model to pass through the tunnel model at a test speed V0, and calculating to obtain a pressure change curve at a designated position on the inner wall of the tunnel model and/or the outer surface of the train model based on the mathematical calculation model;
and E, repeating the steps A to D corresponding to different ground temperature initial temperatures, monitoring the temperature change of a specified point in the tunnel model under different ground temperature initial temperature conditions, and obtaining the pressure propagation rule of the specified position on the inner wall of the tunnel model and/or the outer surface of the train model under different ground temperature initial temperature conditions and the influence weight of the different ground temperature initial temperatures on the pressure peak value fluctuation.
2. The numerical simulation method for the high-speed train passing through the high-ground-temperature tunnel according to claim 1, wherein the initial temperature of the ground temperature in the tunnel model is changed or unchanged along the length direction.
3. The numerical simulation method for a high-speed train passing through a high-ground-temperature tunnel according to claim 2, wherein the initial temperature of the ground temperature in the tunnel model changes continuously or discontinuously along the length direction.
4. The numerical simulation method for a high-speed train passing through a high-ground-temperature tunnel according to claim 3, wherein the initial temperature of the ground temperature in the tunnel model changes in a parabolic shape along the length direction.
5. The numerical simulation method for a tunnel with a high ground temperature through a high-speed train according to claim 1, wherein in step D1, when a difference between an amount of air flowing into the tunnel model and an amount of air flowing out of the tunnel model is within a set range, it is determined that an internal and external flow field of the tunnel model reaches a steady state.
6. The numerical simulation method for a high-speed train passing through a high-ground-temperature tunnel according to claim 1, wherein the mathematical calculation model adopts a QUICK format with first-order precision in a differential format.
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