International Journal of Computing and Artificial Intelligence

P-ISSN: 2707-6571, E-ISSN: 2707-658X
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2022, Vol. 3, Issue 2, Part A

Mathematical formulation of large eddy simulation using hybrid finite difference methods and poisson equations


Author(s): Akinrinmade Victor Adetayo, Okeke Onyedika Remigius and Afonne Emmanuel

Abstract: This study uses the hybrid finite-difference method (HFDM), which combines the finite-difference and spectral approaches, to describe the Magnetohydrodynamic (MHD) turbulence decay. By using a finite-difference approach in conjunction with a cyclic Penta-diagonal matrix, the numerical algorithm of the hybrid method solves the Navier-Stokes equations and the magnetic field equation with the fourth order's precision in space and second order in time. The spectral approach is used to solve the pressure Poisson equation. The time-dependent turbulence features of this flow were in excellent agreement with the appropriate analytical solution, which is valid for short timeframes, for the classical issue of the 3-D Taylor and Green vortex flow without taking the magnetic field into account. We also show how the effective numerical approach may be utilised to model the decline of magnetohydrodynamic turbulence at various magnetic Reynolds numbers.

DOI: 10.33545/27076571.2022.v3.i2a.54

Pages: 35-55 | Views: 1890 | Downloads: 1171

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International Journal of Computing and Artificial Intelligence
How to cite this article:
Akinrinmade Victor Adetayo, Okeke Onyedika Remigius, Afonne Emmanuel. Mathematical formulation of large eddy simulation using hybrid finite difference methods and poisson equations. Int J Comput Artif Intell 2022;3(2):35-55. DOI: 10.33545/27076571.2022.v3.i2a.54
International Journal of Computing and Artificial Intelligence

International Journal of Computing and Artificial Intelligence

International Journal of Computing and Artificial Intelligence
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