Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1166.76045
Toda, Kunihiko; Ogata, Youichi; Yabe, Takashi
Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations. (English)
[J] J. Comput. Phys. 228, No. 13, 4917-4944 (2009). ISSN 0021-9991

Summary: A new characteristic approach that guarantees conservative property is proposed and applied to shallow water equations. CIP-CSL (Constrained Interpolation Profile/Conservative Semi-Lagrangian) interpolation is applied to the CIP method of characteristics in order to enhance the mass conservation. Although the characteristic formulation is originally derived from non-conservative form, the present scheme achieves complete mass conservation by solving mass conservation simultaneously and reflecting conserving mass in interpolation profile. Compared to the CIP method of characteristics, the present method has height error less by several orders of magnitude. By the enhanced conservation property, the present scheme is applicable to nonlinear problem such as shock problems. Furthermore, application to two dimensions including the Coriolis term is straightforward with directional splitting technique.

MSC 2000:: *76M25 Other numerical methods
76B15 Wave motions (fluid mechanics)
65M25 Method of characteristics (numerical)

Keywords: mass conservation; Coriolis term; directional splitting

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]