𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite-volume particle method for conservation laws on moving domains

✍ Scribed by D. Teleaga; J. Struckmeier

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
1007 KB
Volume
58
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The paper deals with the finite‐volume particle method (FVPM), a relatively new method for solving hyperbolic systems of conservation laws. A general formulation of the method for bounded and moving domains is presented. Furthermore, an approximation property of the reconstruction formula is proved. Then, based on a two‐dimensional test problem posed on a moving domain, a special Ansatz for the movement of the particles is proposed. The obtained numerical results indicate that this method is well suited for such problems, and thus a first step to apply the FVPM to real industrial problems involving free boundaries or fluid–structure interaction is taken. Finally, we perform a numerical convergence study for a shock tube problem and a simple linear advection equation. Copyright Β© 2008 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Spectral (Finite) Volume Method for Cons
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation: Basic Formulation
✍ Wang, Z. J. (author) πŸ“‚ Article πŸ“… 2002 πŸ› Academic Press Inc. 🌐 English βš– 449 KB

A high-order, conservative, yet efficient method named the spectral volume (SV) method is developed for conservation laws on unstructured grids. The concept of a "spectral volume" is introduced to achieve high-order accuracy in an efficient manner similar to spectral element and multidomain spectral

Spectral (Finite) Volume Method for Cons
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids: II. Extension to Two-Dimensional Scalar Equation
✍ Z.J. Wang; Yen Liu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 536 KB

The framework for constructing a high-order, conservative spectral (finite) volume (SV) method is presented for two-dimensional scalar hyperbolic conservation laws on unstructured triangular grids. Each triangular grid cell forms a spectral volume (SV), and the SV is further subdivided into polygona