godunov型格式下冲击下游解的精度。一、一维问题中的误差来源

IF 2.6 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Computational Physics Pub Date : 2023-06-01 DOI:10.4208/cicp.oa-2022-0243

Alexander V. Rodionov

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On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

. The article opens a series of publications devoted to a systematic study of numerical errors behind the shock wave when using high-order Godunov-type schemes, including in combination with the artificial viscosity approach. The proposed paper describes the numerical methods used in the study, and identifies the main factors affecting the accuracy of the solution for the case of one-dimensional gas dynamic problems. The physical interpretation of the identified factors is given and their influence on the grid convergence is analyzed

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来源期刊

Communications in Computational Physics 物理-物理：数学物理

CiteScore

4.70

自引率

5.40%

发文量

审稿时长

9 months

期刊介绍： Communications in Computational Physics (CiCP) publishes original research and survey papers of high scientific value in computational modeling of physical problems. Results in multi-physics and multi-scale innovative computational methods and modeling in all physical sciences will be featured.