Abstract
The NS equations were solved by the use of a CMSSL library subroutine which directly inverts the Poisson matrix. The mathematical approach which sets a scheme for the parallelisation of the Poisson solver subroutine leads to results which are compatible with schemes based on iterative methods used in early calculations such as the Gauss-Seidel. Despite the change of sparsity and size of the Poisson matrix, as the fluid advances in space, one believes that the Bi-conjugate gradient and the Lanczos algorithms are the best candidates for maximum parallelisation of the solver subroutine.
Also, the extension of the problem to 3D is possible because the mathematical approach is still applicable with the VOF technique.
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Sabeur, Z.A. (1996). A parallel computation of the Navier-Stokes equation for the simulation of free surface flows with the volume of fluid method. In: Dongarra, J., Madsen, K., Waśniewski, J. (eds) Applied Parallel Computing Computations in Physics, Chemistry and Engineering Science. PARA 1995. Lecture Notes in Computer Science, vol 1041. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60902-4_51
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DOI: https://doi.org/10.1007/3-540-60902-4_51
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