Prototype Mixed Finite Element Hydrodynamics Capability in ARES

Rieben, R N

关键词: ALGORITHMS;    FINITE ELEMENT METHOD;    HYDRODYNAMICS;    MODIFICATIONS;   

DOI  :  10.2172/945636
RP-ID  :  LLNL-TR-405350
PID  :  OSTI ID: 945636
Others  :  TRN: US200904%%115

美国|英语

来源: SciTech Connect

【 摘 要 】

This document describes work on a prototype Mixed Finite Element Method (MFEM) hydrodynamics algorithm in the ARES code, and its application to a set of standard test problems. This work is motivated by the need for improvements to the algorithms used in the Lagrange hydrodynamics step to make them more robust. We begin by identifying the outstanding issues with traditional numerical hydrodynamics algorithms followed by a description of the proposed method and how it may address several of these longstanding issues. We give a theoretical overview of the proposed MFEM algorithm as well as a summary of the coding additions and modifications that were made to add this capability to the ARES code. We present results obtained with the new method on a set of canonical hydrodynamics test problems and demonstrate significant improvement in comparison to results obtained with traditional methods. We conclude with a summary of the issues still at hand and motivate the need for continued research to develop the proposed method into maturity.