Stability analysis for the method of transport
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1996-12
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Report
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Abstract
In this paper, we provide analytical stability estimates for the method of transport. We first prove stability of the second-order method of transport applied to the linear advection equation with constant coefficient in one dimension by using the von Neumann method and with the positive operator technique. In a second step, we extend the proof to the linear advection equation with variable coefficient. Finally, we investigate and compare the existing multidimensional schemes from van Leer, Colella, and LeVeque for the linear advection equation with constant coefficients.
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published
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1996-22
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Seminar for Applied Mathematics, ETH Zurich
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Subject
Multidimensional scheme; method of transport; advection equation; stability; von Neumann method
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics