JPWO2020146860A5 - - Google Patents

Download PDF

Info

Publication number
JPWO2020146860A5
JPWO2020146860A5 JP2021540244A JP2021540244A JPWO2020146860A5 JP WO2020146860 A5 JPWO2020146860 A5 JP WO2020146860A5 JP 2021540244 A JP2021540244 A JP 2021540244A JP 2021540244 A JP2021540244 A JP 2021540244A JP WO2020146860 A5 JPWO2020146860 A5 JP WO2020146860A5
Authority
JP
Japan
Prior art keywords
elemental
equations
window
solving
computer
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.)
Pending
Application number
JP2021540244A
Other languages
Japanese (ja)
Other versions
JP2022517229A (en
Publication date
Application filed filed Critical
Priority claimed from PCT/US2020/013271 external-priority patent/WO2020146860A1/en
Publication of JP2022517229A publication Critical patent/JP2022517229A/en
Publication of JPWO2020146860A5 publication Critical patent/JPWO2020146860A5/ja
Pending legal-status Critical Current

Links

Claims (16)

物理システムを表すシミュレーションモデルを離散化するためのコンピュータ実施方法であって、
シミュレーションモデルを受信するステップと、
前記シミュレーションモデルの空間領域を複数のウィンドウに分割するステップと、
第１の組の要素方程式を解くために前記空間領域の第１のウィンドウを割り当てるステップであって、前記第１のウィンドウが、物理現象のタイプ、前記第１の組の要素方程式を解くための手法、前記第１の組の要素方程式を解くための時間分解能を定義する、ステップと、
第２の組の要素方程式を解くために前記空間領域の第２のウィンドウを割り当てるステップであって、前記第２のウィンドウが、物理現象のタイプ、前記第２の組の要素方程式を解くための手法、前記第２の組の要素方程式を解くための時間分解能を定義する、ステップと、
前記第１の組の要素方程式および前記第２の組の要素方程式を含む行列を作成するステップと、
前記行列を解くステップであって、少なくとも１つの前記物理現象のタイプと、要素方程式を解くための前記手法、または前記時間分解能が、前記第１のウィンドウと前記第２のウィンドウにおいて異なるステップと、
を含む、コンピュータ実施方法。 A computer-implemented method for discretizing a simulation model representing a physical system , comprising:
receiving a simulation model;
dividing the spatial domain of the simulation model into multiple windows;
assigning a first window of the spatial domain to solve a first set of elemental equations , wherein the first window is a type of physical phenomenon, a type of physical phenomenon to solve the first set of elemental equations; a method, defining a time resolution for solving the first set of elemental equations ;
allocating a second window of the spatial domain for solving a second set of elemental equations , wherein the second window is a type of physical phenomenon for solving the second set of elemental equations; a method, defining a time resolution for solving the second set of elemental equations ;
creating a matrix that includes the first set of elemental equations and the second set of elemental equations;
solving the matrix, wherein at least one type of physical phenomenon, the technique for solving elemental equations, or the temporal resolution is different in the first window and the second window ;
A computer-implemented method , comprising: 前記行列を解く前記ステップが、前記第１の組の要素方程式および前記第２の組の要素方程式を同時に解くことを含む、請求項１に記載のコンピュータ実施方法。 2. The computer-implemented method of claim 1, wherein said step of solving said matrix comprises simultaneously solving said first set of elemental equations and said second set of elemental equations. 前記行列を解く前記ステップが、前記第１の組の要素方程式および前記第２の組の要素方程式を反復的に解くことを含む、請求項１に記載のコンピュータ実施方法。 2. The computer-implemented method of claim 1, wherein said step of solving said matrix comprises iteratively solving said first set of elemental equations and said second set of elemental equations. 前記物理現象のタイプが、機械物理、熱機械物理、電気機械物理、磁気機械物理、またはそれらの組合せのうちの１つである、請求項１から３のいずれか一項に記載のコンピュータ実施方法。 4. The computer-implemented method of any one of claims 1-3, wherein the type of physical phenomenon is one of mechanical physics, thermomechanical physics, electromechanical physics, magnetomechanical physics, or a combination thereof. . 前記空間領域の前記第１のウィンドウおよび前記第２のウィンドウが、前記シミュレーションモデルの異なる空間位置にある、請求項１から４のいずれか一項に記載のコンピュータ実施方法。 5. The computer-implemented method of any one of claims 1-4, wherein the first window and the second window of the spatial domain are at different spatial locations of the simulation model. 前記空間領域の前記第１のウィンドウおよび前記第２のウィンドウにそれぞれ割り当てられる前記物理現象のタイプが、ユーザによって選択される、請求項１から５のいずれか一項に記載のコンピュータ実施方法。 6. The computer-implemented method of any one of claims 1-5, wherein the type of physical phenomenon assigned to each of the first and second windows of the spatial domain is selected by a user. 前記物理現象のタイプが、前記シミュレーションモデルの特性に基づく決定論的アルゴリズムを使用して、前記空間領域の前記第１のウィンドウおよび前記第２のウィンドウにそれぞれ割り当てられる、請求項１から５のいずれか一項に記載のコンピュータ実施方法。 6. Any of claims 1 to 5, wherein the type of physical phenomenon is assigned to each of the first and second windows of the spatial domain using a deterministic algorithm based on properties of the simulation model. A computer-implemented method according to claim 1. 前記物理現象のタイプが、確率論的機械学習アルゴリズムを使用して、前記空間領域の前記第１のウィンドウおよび前記第２のウィンドウにそれぞれ割り当てられる、請求項１から５のいずれか一項に記載のコンピュータ実施方法。 6. The method according to any one of claims 1 to 5, wherein the type of physical phenomenon is assigned to the first and second windows of the spatial region , respectively, using a probabilistic machine learning algorithm. computer-implemented method. 前記第１のウィンドウおよび前記第２のウィンドウのそれぞれが、前記第１のウィンドウおよび前記第２のウィンドウのそれぞれの中で使用される有限メッシュ要素のサイズを定義する、請求項１から８のいずれか一項に記載のコンピュータ実施方法。 9. Any of claims 1-8 , wherein each of the first window and the second window defines a size of a finite mesh element used within each of the first window and the second window. A computer-implemented method according to claim 1. 前記シミュレーションモデルが２次元（２Ｄ）または３次元（３Ｄ）モデルである、請求項１から９のいずれか一項に記載のコンピュータ実施方法。 10. The computer-implemented method of any one of claims 1-9 , wherein the simulation model is a two-dimensional (2D) or three-dimensional (3D) model. 物理システムを表すシミュレーションモデルを離散化するためのシステムであって、
プロセッサと、
前記プロセッサに動作可能に接続されたメモリと
を含み、前記メモリにコンピュータ実行可能命令が記憶され、前記コンピュータ実行可能命令が前記プロセッサによって実行されると、前記プロセッサに、
シミュレーションモデルを受信するステップと、
前記シミュレーションモデルの空間領域を複数のウィンドウに分割するステップと、
第１の組の要素方程式を解くために前記空間領域の第１のウィンドウを割り当てるステップであって、前記第１のウィンドウが、物理現象のタイプ、前記第１の組の要素方程式を解くための手法、前記第１の組の要素方程式を解くための時間分解能を定義する、ステップと、
第２の組の要素方程式を解くために前記空間領域の第２のウィンドウを割り当てるステップであって、前記第２のウィンドウが、物理現象のタイプ、前記第２の組の要素方程式を解くための手法、前記第２の組の要素方程式を解くための時間分解能を定義する、ステップと、
前記第１の組の要素方程式および前記第２の組の要素方程式を含む行列を作成するステップと、
前記行列を解くステップであって、少なくとも１つの前記物理現象のタイプと、要素方程式を解くための前記手法、または前記時間分解能が、前記第１のウィンドウと前記第２のウィンドウにおいて異なるステップと、
を含む、システム。 A system for discretizing a simulation model representing a physical system , comprising:
a processor;
a memory operatively connected to the processor, wherein computer-executable instructions are stored in the memory, and when the computer-executable instructions are executed by the processor, the processor:
receiving a simulation model;
dividing the spatial domain of the simulation model into multiple windows;
assigning a first window of the spatial domain to solve a first set of elemental equations , wherein the first window is a type of physical phenomenon, a type of physical phenomenon to solve the first set of elemental equations; a method, defining a time resolution for solving the first set of elemental equations ;
allocating a second window of the spatial domain for solving a second set of elemental equations , wherein the second window is a type of physical phenomenon for solving the second set of elemental equations; a method, defining a time resolution for solving the second set of elemental equations ;
creating a matrix that includes the first set of elemental equations and the second set of elemental equations;
solving the matrix, wherein at least one type of physical phenomenon, the technique for solving elemental equations, or the temporal resolution is different in the first window and the second window;
system , including 前記物理現象のタイプが、機械物理、熱機械物理、電気機械物理、磁気機械物理、またはそれらの組合せのうちの１つである、請求項１１に記載のシステム。12. The system of claim 11, wherein the type of physical phenomenon is one of mechanical physics, thermomechanical physics, electromechanical physics, magnetomechanical physics, or combinations thereof. 前記物理現象のタイプが、前記シミュレーションモデルの特性に基づく決定論的アルゴリズム、または確率論的機械学習アルゴリズムを使用して、前記空間領域の前記第１のウィンドウおよび前記第２のウィンドウにそれぞれ割り当てられる、請求項１１または１２に記載のシステム。The physical phenomenon type is assigned to each of the first and second windows of the spatial domain using a deterministic algorithm based on properties of the simulation model or a probabilistic machine learning algorithm. , a system according to claim 11 or 12. 前記第１のウィンドウおよび前記第２のウィンドウのそれぞれが、前記第１のウィンドウおよび前記第２のウィンドウのそれぞれの中で使用される有限メッシュ要素のタイプを定義する、請求項１から８のいずれか一項に記載のコンピュータ実施方法。9. Any of claims 1-8, wherein each of the first and second windows defines a type of finite mesh element used within each of the first and second windows. A computer-implemented method according to claim 1. 前記第１の組の要素方程式および前記第２の組の要素方程式のそれぞれを解くための時間分解能は、固定または時間の経過とともに変化する、請求項１から１０のいずれか一項に記載のコンピュータ実施方法。11. The computer of any one of claims 1-10, wherein the time resolution for solving each of the first set of elemental equations and the second set of elemental equations is fixed or varies over time. Implementation method. 前記第１の組の要素方程式および前記第２の組の要素方程式を解くための前記手法は、時間陰解法または時間陽解法である、請求項１から１０のいずれか一項に記載のコンピュータ実施方法。11. The computer-implemented method of any one of claims 1-10, wherein the technique for solving the first set of elemental equations and the second set of elemental equations is an implicit time method or an explicit time method. .
JP2021540244A 2019-01-11 2020-01-13 Systems and methods for compute window processing Pending JP2022517229A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US201962791073P 2019-01-11 2019-01-11
US62/791,073 2019-01-11
PCT/US2020/013271 WO2020146860A1 (en) 2019-01-11 2020-01-13 Systems and methods for computational windowing

Publications (2)

Publication Number Publication Date
JP2022517229A JP2022517229A (en) 2022-03-07
JPWO2020146860A5 true JPWO2020146860A5 (en) 2023-01-20

Family

ID=71517143

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2021540244A Pending JP2022517229A (en) 2019-01-11 2020-01-13 Systems and methods for compute window processing

Country Status (4)

Country Link
US (1) US20200226310A1 (en)
EP (1) EP3908919A4 (en)
JP (1) JP2022517229A (en)
WO (1) WO2020146860A1 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113590891B (en) * 2021-08-09 2023-08-11 江苏网进科技股份有限公司 Real-time stream processing frame

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2930350B1 (en) * 2008-04-17 2011-07-15 Inst Francais Du Petrole PROCESS FOR SEARCHING FOR HYDROCARBONS IN A GEOLOGICALLY COMPLEX BASIN USING BASIN MODELING
US9754056B2 (en) * 2010-06-29 2017-09-05 Exxonmobil Upstream Research Company Method and system for parallel simulation models
US9146652B1 (en) 2011-08-31 2015-09-29 Comsol Ab System and method for creating user interfaces in a multiphysics modeling system
US20140222384A1 (en) 2013-02-04 2014-08-07 Comsol Ab Apparatus and method for defining coupled systems on spatial dimensions and extra dimensions
EP3379426A1 (en) 2017-03-21 2018-09-26 Elliniki Etaireia Prosomoioseon Ike Computerized methods and computer apparatus for estimating the values of physical quantities in problems governed by poisson or helmholtz equations

Similar Documents

Publication Publication Date Title
Wang et al. Linear subspace design for real-time shape deformation
Sundar et al. Parallel geometric-algebraic multigrid on unstructured forests of octrees
US10417821B2 (en) Method of simplifying a geometry model
Matzen An efficient finite element time‐domain formulation for the elastic second‐order wave equation: A non‐split complex frequency shifted convolutional PML
Whalen et al. Open quantum systems with delayed coherent feedback
Koschier et al. Adaptive Tetrahedral Meshes for Brittle Fracture Simulation.
US20130187930A1 (en) Method and system for interactive simulation of materials and models
Chappell et al. Solving the stationary Liouville equation via a boundary element method
JP7453244B2 (en) Estimation device, training device, estimation method, and model generation method
JP2022001861A (en) Full-wave form inversion method, device and electronic facility
Miryaha et al. Discontinuous Galerkin method for numerical simulation of dynamic processes in solids
US11030363B2 (en) Physics engine with permissive rigid body penetration
JP4778558B2 (en) High-speed processing method of coupled equations by finite element method and boundary element method
Ho et al. A fast semidirect least squares algorithm for hierarchically block separable matrices
Baleanu et al. Numerical solution of the fractional Euler-Lagrange’s equations of a thin elastica model
JP2017120632A5 (en)
JPWO2020146860A5 (en)
McCourt et al. Efficient sparse matrix-matrix products using colorings
Estrada et al. Noncommutative mixmaster cosmologies
Davydov et al. Matrix‐Free Locally Adaptive Finite Element Solution of Density‐Functional Theory With Nonorthogonal Orbitals and Multigrid Preconditioning
Malakar et al. Scalable in situ analysis of molecular dynamics simulations
Fujita et al. Wave propagation simulation of complex multi-material problems with fast low-order unstructured finite-element meshing and analysis
Wang et al. Real-Time CUDA Based Collision detection and Physics based collision response simulation
Simnett et al. An Edge-based Approach to Adaptively Refining a Mesh for Cloth Deformation.
Xiao et al. The RSRR method for solving large-scale nonlinear eigenvalue problems in boundary element method