NIFS-608

FULL TEXT (PDF, 559 KB)

Author(s):

R. Tanaka, T. Nakamura and T. Yabe

Title:

Constructing Exactly Conservative Scheme in Non-conservative Form

Date of publication:

Aug. 1999

Key words:

CIP, Computational algorithm, Mass conservation, Semi-Lagrangian

Abstract:

A non-conservative scheme that guarantees exact mass conservation is proposed. Although it is in a non-conservative form, the mass of each cell is employed as an additional variable that is advanced in a conservative form. Some numerical tests are carried out to demonstrate the mass conservation and the accurate calculation of the speed of a shock wave even without the viscosity term.

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