Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. (English)
[J] Comput. Math. Appl. 45, No. 1-3, 273-298 (2003). ISSN 0898-1221

Summary: We develop a one-dimensional moving-mesh method for hyperbolic systems of conservation laws. This method is based on the high-resolution finite-volume ``wave-propagation method", implemented in the CLAWPACK software package. A modified system of conservation laws is solved on a fixed, uniform computational grid, with a grid mapping function computed simultaneously in such a way that in physical space certain features are tracked by cell interfaces.\par The method is tested on a shock-tube problem with multiple reflections where the contact discontinuity is tracked, and also on two multifluid problems where the interface between two distinct gases is tracked. One is a standard test problem and the other also involves a moving piston whose motion is also tracked by the moving mesh.

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
35L65 Conservation laws
76L05 Shock waves (fluid mechanics)
76M20 Finite difference methods

Keywords: Moving-mesh methods; Finite-volume methods; Hyperbolic conservation laws; Interface problems; numerical examples; wave-propagation method; CLAWPACK software package; shock-tube problem

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]