CN107016155B - 非线性pde和线性求解器的收敛估计 - Google Patents

非线性pde和线性求解器的收敛估计 Download PDF

Info

Publication number
CN107016155B
CN107016155B CN201611225309.6A CN201611225309A CN107016155B CN 107016155 B CN107016155 B CN 107016155B CN 201611225309 A CN201611225309 A CN 201611225309A CN 107016155 B CN107016155 B CN 107016155B
Authority
CN
China
Prior art keywords
equations
solution
real world
computer
iteration
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.)
Active
Application number
CN201611225309.6A
Other languages
English (en)
Chinese (zh)
Other versions
CN107016155A (zh
Inventor
K·拉奥
B·佩洛特
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.)
Dassault Systemes Americas Corp
Original Assignee
Dassault Systemes Simulia 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 Dassault Systemes Simulia Corp filed Critical Dassault Systemes Simulia Corp
Publication of CN107016155A publication Critical patent/CN107016155A/zh
Application granted granted Critical
Publication of CN107016155B publication Critical patent/CN107016155B/zh
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

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
    • 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
    • G06F17/12—Simultaneous equations, e.g. systems of linear equations
    • 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
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • Data Mining & Analysis (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Operations Research (AREA)
  • Computing Systems (AREA)
  • Fluid Mechanics (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
CN201611225309.6A 2015-12-28 2016-12-27 非线性pde和线性求解器的收敛估计 Active CN107016155B (zh)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US14/981,263 US10303825B2 (en) 2015-12-28 2015-12-28 Convergence estimation of non-linear PDE and linear solvers
US14/981,263 2015-12-28

Publications (2)

Publication Number Publication Date
CN107016155A CN107016155A (zh) 2017-08-04
CN107016155B true CN107016155B (zh) 2023-05-23

Family

ID=57614256

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201611225309.6A Active CN107016155B (zh) 2015-12-28 2016-12-27 非线性pde和线性求解器的收敛估计

Country Status (4)

Country Link
US (1) US10303825B2 (enExample)
EP (1) EP3188054A1 (enExample)
JP (1) JP6837328B2 (enExample)
CN (1) CN107016155B (enExample)

Families Citing this family (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109255171B (zh) * 2018-08-29 2023-09-05 深圳十沣科技有限公司 一种自动判定数值模拟计算收敛的方法
JP7336856B2 (ja) * 2019-03-01 2023-09-01 株式会社Preferred Networks 情報処理装置、方法及びプログラム
US11200356B2 (en) 2019-04-09 2021-12-14 Nvidia Corporation Using a computer to model the reactions of objects to simulated physical interactions
JP7318383B2 (ja) * 2019-07-22 2023-08-01 富士通株式会社 情報処理プログラム、情報処理方法、及び情報処理装置
US11875091B2 (en) 2019-09-05 2024-01-16 Toyota Motor Engineering & Manufacturing North America, Inc. Method for data-driven comparison of aerodynamic simulations
CN110569479A (zh) * 2019-10-09 2019-12-13 上海脉拓信息科技有限公司 一种用于非线性流体的数据信息处理方法
US11615218B2 (en) * 2020-05-15 2023-03-28 Dassault Systemes Simulia Corp. Mesh void space identification and auto seeding detection in computer added design defined geometries
US12380260B2 (en) * 2020-10-08 2025-08-05 Dassault Systemes Americas Corp. Modeling and simulating material microstructures
US12488156B2 (en) 2021-03-24 2025-12-02 Dassault Systemes Americas Corp. Integrating calibrated models with computational physics simulations
US20220309208A1 (en) 2021-03-24 2022-09-29 Dassault Systemes Simulia Corp. In-situ formulation of calibrated models in multi component physics simulation
CN114580227B (zh) * 2021-12-03 2024-10-01 电子科技大学(深圳)高等研究院 固体材料非线性力学仿真预测方法、系统及介质
CN114357904B (zh) * 2021-12-29 2024-08-16 中国航天空气动力技术研究院 一种基于金属流体流场的电磁主动控制方法及设备
CN118410261B (zh) * 2024-07-04 2024-08-23 中国空气动力研究与发展中心计算空气动力研究所 通量雅可比矩阵更新频率调整方法、装置、设备及介质

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103218493A (zh) * 2013-04-22 2013-07-24 中国科学技术大学 一种基于多重网格的快速等几何分析数值模拟方法
US8924186B1 (en) * 2010-09-09 2014-12-30 Sas Ip, Inc. Simulations of physical systems for multiple excitations

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP3725211B2 (ja) * 1995-08-29 2005-12-07 三菱電機株式会社 電力系統シミュレータ
JP3428813B2 (ja) * 1996-04-25 2003-07-22 三菱電機株式会社 電力系統シミュレータ
JP2003162517A (ja) * 2001-11-27 2003-06-06 Semiconductor Leading Edge Technologies Inc 非線形方程式の解析方法、非線形方程式の解析装置、プログラム及び記録媒体
US20050197808A1 (en) 2004-03-08 2005-09-08 An-Yu Kuo Method for determining electrical and magnetic field effects
SG196763A1 (en) * 2012-08-03 2014-02-13 Agency Science Tech & Res A method for determining precoding matrixes for communication and a system therefrom
US10275545B2 (en) * 2013-03-15 2019-04-30 Ventana Systems, Inc. Modeling and simulation

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8924186B1 (en) * 2010-09-09 2014-12-30 Sas Ip, Inc. Simulations of physical systems for multiple excitations
CN103218493A (zh) * 2013-04-22 2013-07-24 中国科学技术大学 一种基于多重网格的快速等几何分析数值模拟方法

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
非线性地球物理反演方法:回顾与展望;杨文采;《地球物理学进展》;20020630(第02期);全文 *

Also Published As

Publication number Publication date
JP2017123160A (ja) 2017-07-13
US20170185707A1 (en) 2017-06-29
JP6837328B2 (ja) 2021-03-03
CN107016155A (zh) 2017-08-04
EP3188054A1 (en) 2017-07-05
US10303825B2 (en) 2019-05-28

Similar Documents

Publication Publication Date Title
CN107016155B (zh) 非线性pde和线性求解器的收敛估计
JP6854636B2 (ja) 物理座標におけるモーダル減衰を用いた構造動力学問題を効果的に解くこと
US10311180B2 (en) System and method of recovering Lagrange multipliers in modal dynamic analysis
US11281824B2 (en) Authoring loading and boundary conditions for simulation scenarios
US10685154B2 (en) Analytical consistent sensitivities for nonlinear equilibriums, where the only source of nonlinearities is small sliding contact constraints
US9965574B2 (en) CAD-based initial surface geometry correction
US10546076B2 (en) Analytical consistent sensitivities for external intervening between two sequential equilibriums
CN107526863B (zh) 用于不可压缩瞬态和稳态navier-stokes方程的最佳压力投影方法
US10740513B2 (en) Intra-increment adjustments of implicit finite element simulation
US20240354470A1 (en) Systems and methods for resolving numerical instabilities
US20250307481A1 (en) Suppression of Post-buckling behavior in Optimization using Added Artificial Forces
Albring et al. Aerodynamic Shape Optimization based on the One-Shot Approach

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
TR01 Transfer of patent right
TR01 Transfer of patent right

Effective date of registration: 20240710

Address after: Massachusetts, USA

Patentee after: Dassault Systemes Americas Corp.

Country or region after: U.S.A.

Address before: Rhodes Island

Patentee before: Dassault Systemes Simulia Corp.

Country or region before: U.S.A.