Parallel shared-memory open-source code for simulations of transient problems using isogeometric analysis, implicit direction splitting and residual minimization (IGA-ADS-RM)

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Advances in Engineering Software Pub Date : 2024-07-25 DOI:10.1016/j.advengsoft.2024.103723

Marcin Łoś, Maciej Paszyński

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Abstract

We present an open-source parallel shared-memory C++ software for simulations of transient phenomena on tensor product grids, with the following features: (1) it supports isogeometric finite element method discretizations; (2) it employs alternating-directions (ADS) linear cost $O (N)$ solver; (3) it uses implicit time-integration schemes suitable for ADS, including Peaceman–Rachford, Douglass-Gunn, Adams–Moulton, generalized alpha, and BDF; (4) it works for 2D/3D problems; (5) it enables residual minimization stabilization; (6) it supports scalar, vector fields, and systems of PDEs; (7) it provides a ParaView interface; (8) it supports an interface to parallel MUMPS direct solver for problems not suitable for ADS solver; (9) it also supports interface to Preconditioned Conjugate Gradients (PCG) solver; (10) it includes a large library of problems: (a) non-stationary heat transfer (2D/3D); (b) stationary advection–diffusion (2D); (c) non-stationary advection–diffusion (2D/3D); (d) laminar flow (Stokes equations) (2D/3D); (e) Navier–Stokes (2D); (f) pollution propagation (2D/3D); (g) pathogen propagation (3D).

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利用等距分析、隐式方向分割和残差最小化（IGA-ADS-RM）模拟瞬态问题的并行共享内存开放源代码

我们介绍一款开源并行共享内存 C++ 软件，用于在张量乘积网格上模拟瞬态现象，具有以下特点：(1) 支持等几何有限元法离散化；(2) 采用交替方向（ADS）线性成本求解器；(3) 使用适合 ADS 的隐式时间积分方案，包括 Peaceman-Rachford、Douglass-Gunn、Adams-Moulton、广义阿尔法和 BDF；(4) 适用于 2D/3D 问题；(5) 支持残差最小化稳定；(6) 支持标量、矢量场和 PDE 系统；(7) 提供 ParaView 界面；(8) 支持与并行 MUMPS 直接求解器的接口，用于求解不适合 ADS 求解器的问题；(9) 还支持与预条件共轭梯度（PCG）求解器的接口；(10) 包含大量问题库：(a) 非稳态传热（2D/3D）；(b) 稳态平流-扩散（2D）；(c) 非稳态平流-扩散（2D/3D）；(d) 层流（斯托克斯方程）（2D/3D）；(e) Navier-Stokes（2D）；(f) 污染传播（2D/3D）；(g) 病原体传播（3D）。

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来源期刊

Advances in Engineering Software 工程技术-计算机：跨学科应用

CiteScore

7.70

自引率

4.20%

发文量

169

审稿时长

37 days

期刊介绍： The objective of this journal is to communicate recent and projected advances in computer-based engineering techniques. The fields covered include mechanical, aerospace, civil and environmental engineering, with an emphasis on research and development leading to practical problem-solving. The scope of the journal includes: • Innovative computational strategies and numerical algorithms for large-scale engineering problems • Analysis and simulation techniques and systems • Model and mesh generation • Control of the accuracy, stability and efficiency of computational process • Exploitation of new computing environments (eg distributed hetergeneous and collaborative computing) • Advanced visualization techniques, virtual environments and prototyping • Applications of AI, knowledge-based systems, computational intelligence, including fuzzy logic, neural networks and evolutionary computations • Application of object-oriented technology to engineering problems • Intelligent human computer interfaces • Design automation, multidisciplinary design and optimization • CAD, CAE and integrated process and product development systems • Quality and reliability.