Journal
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
Volume 28, Issue 1-2, Pages 56-75Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10618562.2014.891019
Keywords
projection method; central-upwind scheme; kinetic flux vector splitting scheme; conservation laws; bottom topography; discontinuous solutions; shallow water magnetohydrodynamic equations
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Funding
- Higher Education Commission (HEC) of Pakistan [1375]
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The governing equations of shallow water magnetohydrodynamics describe the dynamics of a thin layer of nearly incompressible and electrically conducting fluids for which the evolution is nearly two-dimensional with magnetic equilibrium in the third direction. A high-resolution central-upwind scheme is applied to solve the model equations considering non-flat bottom topography. The suggested method is an upwind biased non-oscillatory finite volume scheme which doees not require a Riemann solver at each time step. To satisfy the divergence-free constraint, the projection method is used. Several case studies are carried out. For validation, a gas kinetic flux vector splitting scheme is also applied to the same model.
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