求解现代多物理场仿真软件中的偏微分方程

Dawid Krol, D. Zydek
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引用次数: 4

摘要

当今科学的需要和期望不仅要求精确地描述某些自然和物理现象,而且要求有能力模拟和预测它们的未来状态。有许多物理和数学模型已经创建和描述,其中一些是多年前发展起来的;然而,到目前为止,解决这些模型仍然是一个挑战。由于计算机科学领域的研究进展,可以使用现代软件工具来面对挑战,称为多物理场模拟器。本文介绍了三种采用有限元方法的系统。描述和讨论了这些系统的结构、解决问题的概念、能力、性能以及优缺点。分析的目标是找到系统中的瓶颈。这些瓶颈是由所使用硬件的限制造成的,可以使用其他技术来克服。我们提出图形处理单元(gpu)和现场可编程门阵列(fpga)作为显著提高多物理场模拟器性能的解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solving PDEs in modern multiphysics simulation software
Needs and expectations of nowadays science require not only precise description of certain natural and physics phenomena, but also a capability to model and predict their future state. There are many physics and mathematical models already created and described, some of them are developed many years ago; however, solving the models remains a challenge till date. Due to research advances in computer science field, the challenge can be faced using modern software tools, called multiphysics simulators. In this paper, three systems using finite element method are presented. Structure, concept of solving problems, capacity, performance, and weak and strong sides of these systems are described and discussed. Goal of the analysis is to find bottlenecks in the systems. These bottlenecks are caused by limitations of hardware used, which can be overcome using other technologies. We propose Graphic Processing Units (GPUs) and Field-Programmable Gate Arrays (FPGAs) as the solutions significantly increasing performance of multiphysics simulators.
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