A spectral semi-implicit method for a convection problem with viscosity dependent on temperature in primitive variables formulation

Details A spectral semi-implicit method for a convection problem with viscosity dependent on temperature in primitive variables formulation A spectral semi-implicit method for a convection problem with viscosity dependent on temperature in primitive variables formulation

2012-01-16

arxiv.org/abs/1201.3298v1

Physics

Computational Physics

16 pages, 12 figures

Scientific paper

This article discusses the performance of several spectral numerical methods to solve the time evolution of a convection problem with viscosity strongly dependent on temperature. The setup is a 2D domain with periodic boundary conditions along the horizontal coordinate. The numerical schemes are based on a primitive variable formulation and we compare the efficiency of several boundary conditions for pressure. Various numerical examples are presented to illustrate the performance of the different methods. As a result we find that time transients are best resolved by a semi-implicit method with variable time step and improved boundary conditions for pressure.

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