WO2014077969A1 - Computer simulation of physical processes including modeling of laminar-to-turbulent transition - Google Patents

Computer simulation of physical processes including modeling of laminar-to-turbulent transition Download PDF

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Publication number
WO2014077969A1
WO2014077969A1 PCT/US2013/063241 US2013063241W WO2014077969A1 WO 2014077969 A1 WO2014077969 A1 WO 2014077969A1 US 2013063241 W US2013063241 W US 2013063241W WO 2014077969 A1 WO2014077969 A1 WO 2014077969A1
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WO
WIPO (PCT)
Prior art keywords
boundary layer
turbulent
calculation
laminar
measure
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Ceased
Application number
PCT/US2013/063241
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English (en)
French (fr)
Inventor
Hudong Chen
Rupesh KOTAPATI
Raoyang Zhang
Richard SHOCK
Ilya Staroselsky
Yanbing Li
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Exa Corp
Original Assignee
Exa Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Exa Corp filed Critical Exa Corp
Priority to JP2015543045A priority Critical patent/JP6562307B2/ja
Priority to CA2890331A priority patent/CA2890331A1/en
Priority to EP13854830.0A priority patent/EP2920740A4/en
Publication of WO2014077969A1 publication Critical patent/WO2014077969A1/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/28—Design optimisation, verification or simulation using fluid dynamics, e.g. using Navier-Stokes equations or computational fluid dynamics [CFD]
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/25—Design optimisation, verification or simulation using particle-based methods
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
    • G06F2113/08—Fluids

Definitions

  • the measure of turbulent wall momentum flux tensor can be greater than the measure of laminar wall momentum flux tensor.
  • the parallelepiped G, « of a facet F a may overlap portions or all of multiple voxels.
  • the number of voxels or portions thereof is dependent on the size of the facet relative to the size of the voxels, the energy of the state, and the orientation of the facet relative to the lattice structure.
  • the number of affected voxels increases with the size of the facet. Accordingly, the size of the facet, as noted above, is typically selected to be on the order of or smaller than the size of the voxels located near the facet.
  • a timer is initialized to begin the simulation (step 306).
  • movement of particles from voxel to voxel is simulated by an advection stage (steps 308-316) that accounts for interactions of the particles with surface facets.
  • a collision stage (step 318) simulates the interaction of particles within each voxel.
  • the facet distribution function is a simulation tool for generating the output flux from a facet, and is not necessarily representative of actual particles. To generate an accurate output flux, values are assigned to the other states of the distribution function. Outward states are populated using the technique described above for populating the inward states:
  • particles are gathered from the voxels in a second gather stage (steps 1328-1330). Particles are gathered for red facets FaiRr from fine voxels using fine parallelepipeds (step 1328). Particles also are gathered for fine facets F aF and F aIF from fine voxels using fine parallelepipeds (step 1330).
  • Figure 14 illustrates a method for assigning wall-shear stress values to each facet or surfel in the system, based on whether the flow is laminar or turbulent at the given location.
  • the method is iterated such that the wall-shear stress is determined and applied to each facet/surfel at each time step of the fluid flow simulation.
  • the wall-shear stress may differ as a function of time based on whether the fluid flow at the particular location of the surface is laminar or turbulent at the time.
  • adjoining facets/surfels may have different values for the wall-shear stress in regions where the flow transitions from laminar to turbulent or from turbulent to laminar.
  • the methods described herein may be extended to include factors other than wall momentum flux tensor.
  • the methods described herein may be extended to cover any situation in which several boundary layer calculations are performed with some being based on a laminar flow and the others based on a turbulent flow and the results from at least one of the calculation is compared to a threshold, while the result of this comparison is used to select the results of the laminar or turbulent boundary layer calculation to be used in simulation of a fluid flow.

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • Mathematical Physics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Algebra (AREA)
  • Operations Research (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Computing Systems (AREA)
  • Fluid Mechanics (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
PCT/US2013/063241 2012-11-13 2013-10-03 Computer simulation of physical processes including modeling of laminar-to-turbulent transition Ceased WO2014077969A1 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
JP2015543045A JP6562307B2 (ja) 2012-11-13 2013-10-03 層流乱流遷移のモデル化を含む物理的プロセスのコンピュータシミュレーション
CA2890331A CA2890331A1 (en) 2012-11-13 2013-10-03 Computer simulation of physical processes including modeling of laminar-to-turbulent transition
EP13854830.0A EP2920740A4 (en) 2012-11-13 2013-10-03 COMPUTER SIMULATION OF PHYSICAL PROCESSES WITH MODELING OF LAMINAR-TO-TURBULENCE TRANSITION

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US13/675,329 2012-11-13
US13/675,329 US9542506B2 (en) 2012-11-13 2012-11-13 Computer simulation of physical processes including modeling of laminar-to-turbulent transition

Publications (1)

Publication Number Publication Date
WO2014077969A1 true WO2014077969A1 (en) 2014-05-22

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US (2) US9542506B2 (enExample)
EP (1) EP2920740A4 (enExample)
JP (1) JP6562307B2 (enExample)
CA (1) CA2890331A1 (enExample)
WO (1) WO2014077969A1 (enExample)

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US9542506B2 (en) 2012-11-13 2017-01-10 Exa Corporation Computer simulation of physical processes including modeling of laminar-to-turbulent transition
CA2919062A1 (en) * 2013-07-24 2015-01-29 Exa Corporation Lattice boltzmann collision operators enforcing isotropy and galilean invariance
US9292953B1 (en) * 2014-01-17 2016-03-22 Pixar Temporal voxel buffer generation
US9311737B1 (en) * 2014-01-17 2016-04-12 Pixar Temporal voxel data structure
US9292954B1 (en) * 2014-01-17 2016-03-22 Pixar Temporal voxel buffer rendering
CN105241911B (zh) * 2015-09-23 2017-07-21 中国石油大学(北京) 基于lbm模拟低场核磁共振分析流体的方法及装置
US9881110B1 (en) * 2015-10-29 2018-01-30 Sohrab Mohajerin Apparatus and method for estimating and modeling turbulent flow
KR101716819B1 (ko) * 2016-06-23 2017-03-16 한국과학기술정보연구원 크로스플로우 효과를 고려한 3차원 유동 층류-난류 천이 모델 구축 방법 및 그 모델
CN109033525B (zh) * 2018-06-27 2022-08-30 浙江大学 一种基于简化三方程转捩模型的高超声速转捩预测方法
US11544423B2 (en) * 2018-12-31 2023-01-03 Dassault Systemes Simulia Corp. Computer simulation of physical fluids on a mesh in an arbitrary coordinate system
US11188692B2 (en) * 2019-03-06 2021-11-30 Dassault Systemes Simulia Corp. Turbulent boundary layer modeling via incorporation of pressure gradient directional effect
US11645433B2 (en) 2019-06-11 2023-05-09 Dassault Systemes Simulia Corp. Computer simulation of physical fluids on irregular spatial grids stabilized for explicit numerical diffusion problems
US20210117597A1 (en) * 2019-10-16 2021-04-22 Dassault Systemes Simulia Corp. Method and Apparatus for Automatic Underhood Thermal Modeling
US12169669B2 (en) 2019-10-30 2024-12-17 Dassault Systemes Americas Corp. Computer system for simulating physical process using lattice Boltzmann based scalar transport enforcing Galilean invariance for scalar transport
CN112182985B (zh) * 2020-08-20 2022-08-09 河北汉光重工有限责任公司 一种控制细长回转体边界层保持层流不分离流动的方法
US11674536B2 (en) 2020-12-14 2023-06-13 Caterpillar Inc. Guide element for hydraulic fluid
CN112597708B (zh) * 2020-12-16 2022-05-03 厦门大学 一种考虑转捩扰动因素的γ-Reθt转捩模型标定方法
CN113609797B (zh) * 2021-08-10 2023-10-13 西安热工研究院有限公司 一种基于cfd的动叶端壁复合射流下气膜冷却特性仿真方法
EP4419429A1 (en) * 2021-10-21 2024-08-28 Komatsu Forest AB Forestry monitoring system
CN116337396B (zh) * 2023-05-30 2023-07-21 中国航空工业集团公司哈尔滨空气动力研究所 一种高空大气紊流主动模拟风洞试验方法
CN117933132B (zh) * 2024-01-23 2025-04-15 清华大学 飞机部件结冰数据确定方法、装置、电子设备和存储介质
CN119272412A (zh) * 2024-09-28 2025-01-07 天津大学 一种针对粗糙元表面的水下回转体边界层的转捩预测方法

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Also Published As

Publication number Publication date
US9542506B2 (en) 2017-01-10
US10671776B2 (en) 2020-06-02
JP6562307B2 (ja) 2019-08-21
JP2016502719A (ja) 2016-01-28
EP2920740A1 (en) 2015-09-23
EP2920740A4 (en) 2016-08-17
US20170109464A1 (en) 2017-04-20
US20140136159A1 (en) 2014-05-15
CA2890331A1 (en) 2014-05-22

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