Manufactured solutions for the three-dimensional Euler equations with relevance to Inertial Confinement Fusion

被引：11

作者：

Waltz, J. ^{[1
]}

Canfield, T. R. ^{[2
]}

Morgan, N. R. ^{[1
]}

Risinger, L. D. ^{[3
]}

Wohlbier, J. G. ^{[3
]}

机构：

[1] Los Alamos Natl Lab, Computat Phys Div, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM USA

[3] Los Alamos Natl Lab, Computat & Comp Sci Div, Los Alamos, NM USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 267卷

关键词：

ICF modeling; Hydrodynamics; Method of manufactured solutions; UNSTRUCTURED GRIDS; VERIFICATION; HYDRODYNAMICS; CODES;

D O I：

10.1016/j.jcp.2014.02.040

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a set of manufactured solutions for the three-dimensional (3D) Euler equations. The purpose of these solutions is to allow for code verification against true 3D flows with physical relevance, as opposed to 3D simulations of lower-dimensional problems or manufactured solutions that lack physical relevance. Of particular interest are solutions with relevance to Inertial Confinement Fusion (ICF) capsules. While ICF capsules are designed for spherical symmetry, they are hypothesized to become highly 3D at late time due to phenomena such as Rayleigh-Taylor instability, drive asymmetry, and vortex decay. ICF capsules also involve highly nonlinear coupling between the fluid dynamics and other physics, such as radiation transport and thermonuclear fusion. The manufactured solutions we present are specifically designed to test the terms and couplings in the Euler equations that are relevant to these phenomena. Example numerical results generated with a 3D Finite Element hydrodynamics code are presented, including mesh convergence studies. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：196 / 209

页数：14

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