Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems

被引：8

作者：

Glimm, J ^{[1
]}

Grove, JW

Kang, YH

Lee, T

Li, XL

Sharp, DH

Yu, Y

Ye, K

Zhao, M

机构：

[1] SUNY Stony Brook, Dept Appl Math & Stat, Stony Brook, NY 11794 USA

[2] Brookhaven Natl Lab, Ctr Data Intens Comp, Upton, NY USA

[3] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2004年 / 26卷 / 02期

关键词：

uncertainty quantification; error model; composition law; Riemann problem;

D O I：

10.1137/S1064827503427534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We seek error models for shock physics simulations that are robust and understandable. The purpose of this paper is to formulate and validate a composition law to estimate errors in the solutions of composite problems in terms of the errors from simpler ones. We illustrate this idea in a simple context. This paper employs several simplifying assumptions (restriction to one spatial dimension, use of a simplified (gamma law) equation of state, and consideration of a single numerical method). In separate papers we will address the effect of these assumptions.

引用

页码：666 / 697

页数：32

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