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Sommeijer, B. P.; Kok, J.

Implementation and performance of the time integration of a 3D numerical transport model. (English) Zbl 0841.76059

Int. J. Numer. Methods Fluids 21, No. 4, 349-367 (1995).
We discuss two numerical methods. The emphasis is on the performance of the methods when implemented on a vector/parallel, shared memory computer such as a Cray-type machine. The first method is an explicit time integrator and can straightforwardly be vectorized and parallelized. The second method is partly implicit, resulting in much better stability characteristics; however, as a consequence of the implicitness, it requires in each step the solution of a large number of tridiagonal systems.

Cited in 4 Documents

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76R99 Diffusion and convection
86A05 Hydrology, hydrography, oceanography
65Y05 Parallel numerical computation

Keywords:

vector/parallel shared memory computer; Cray C98/4256; advection-diffusion equations; implicit method; explicit time integrator
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References:

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