Abstract
This paper gives a description of multidomain solution of advection problems. Multidomain solution requires interface conditions, and such conditions are constructed on the basis of open (or transparent) boundary conditions. The potential for parallel computations is one of the motivations behind multidomain techniques, and we will deal with this, specifically directed towards distributed memory architectures.
We will use Chebyshev spectral collocation for space discretization. Numerical experiments are presented showing that this method is well suited for solving advection problems, both in the monodomain and multidomain case. We show that the multidomain solution procedure is a well-posed problem both in the continuous case and in the discrete case. For space discretization we use Chebyshev spectral collocation. Numerical experiments with both 2D and 3D models show that the multidomain method is efficient and well-suited for distributed-memory parallel computers.
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Lie, I. Multidomain solution of advection problems by Chebyshev spectral collocation. J Sci Comput 9, 39–64 (1994). https://doi.org/10.1007/BF01573177
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DOI: https://doi.org/10.1007/BF01573177