Elimination of first order errors in shock calculations

Gunilla Kreiss; Gunilla Efraimsson; Jan Nordström

doi:10.1137/S0036142998349412

Elimination of first order errors in shock calculations

Gunilla Kreiss, Gunilla Efraimsson, Jan Nordström

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.

Original language	English
Pages (from-to)	1986-1998
Number of pages	13
Journal	SIAM Journal on Numerical Analysis
Volume	38
Issue number	6
DOIs	https://doi.org/10.1137/S0036142998349412
Publication status	Published - 2001
Externally published	Yes

Keywords

Artificial viscosity
Asymptotic analysis
Central difference scheme
Hyperbolic conservation law

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/S0036142998349412

Cite this

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title = "Elimination of first order errors in shock calculations",

abstract = "First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.",

keywords = "Artificial viscosity, Asymptotic analysis, Central difference scheme, Hyperbolic conservation law",

author = "Gunilla Kreiss and Gunilla Efraimsson and Jan Nordstr{\"o}m",

year = "2001",

doi = "10.1137/S0036142998349412",

language = "English",

volume = "38",

pages = "1986--1998",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - Elimination of first order errors in shock calculations

AU - Kreiss, Gunilla

AU - Efraimsson, Gunilla

AU - Nordström, Jan

PY - 2001

Y1 - 2001

N2 - First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.

AB - First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.

KW - Artificial viscosity

KW - Asymptotic analysis

KW - Central difference scheme

KW - Hyperbolic conservation law

UR - https://www.scopus.com/pages/publications/0041909745

U2 - 10.1137/S0036142998349412

DO - 10.1137/S0036142998349412

M3 - Article

AN - SCOPUS:0041909745

SN - 0036-1429

VL - 38

SP - 1986

EP - 1998

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

Elimination of first order errors in shock calculations

Abstract

Keywords

ASJC Scopus subject areas

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