AN ADAPTIVE DISCRETE-VELOCITY MODEL FOR THE SHALLOW-WATER EQUATIONS

被引:12
|
作者
NADIGA, BT [1 ]
机构
[1] LOS ALAMOS NATL LAB, CNLS, LOS ALAMOS, NM 87545 USA
关键词
D O I
10.1016/S0021-9991(95)90102-7
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A new approach to solving the shallow water equations is presented. This involves using discrete velocities of an adaptive nature in a finite volume context. The origin of the discrete-velocity space and the magnitudes of the discrete-velocities are both spatially and temporally variable. The near-equilibrium flow method of Nadiga and Pullin is used to arrive at a robust second-order (in both space and time) scheme-the adaptive discrete velocity (ADV) scheme-which captures hydraulic jumps with no oscillations. The flow over a two-dimensional ridge, over a wide range of undisturbed upstream Froude numbers prove the robustness and accuracy of the scheme. A comparison of the interaction of two circular vortex patches in the presence of bottom topography as obtained by the ADV scheme and a semi-Lagrangian scheme more than validates the new scheme in two dimensions. (C) 1995 Academic Press. Inc.
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页码:271 / 280
页数:10
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