This article is cited in 8 papers

Smooth volume integral conservation law and method for problems in Lagrangian coordinates

T. Ismagilov

Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: An integral conservation law is derived for smooth volume in Lagrangian coordinates (a comoving frame). A method for approximation of the integral smooth volume conservation law is discussed. An extension technique is suggested for development of smooth volume schemes. For hyperbolic systems, smooth volume upwind and Godunov schemes with monotonic reconstruction are derived. The schemes are applied to equations of gas dynamics and tested for three gas-dynamics shock tube problems. The solutions are monotonic and precise.

Key words: smooth particle method, smooth volume method, finite volume method, monotonic reconstruction, upwind, Godunov.

UDC: 519.634

Received: 28.02.2005
Revised: 20.05.2005

Language: English

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:3, 453–464

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