A FINITE VOLUME METHOD TO SOLVE
THE COMPRESSIBLE NAVIER-STOKES
SYSTEM ON UNSTRUCTURED MESH
Rabé Badé1, Hedia Chaker2, Mohamed Abdelwahed3
1Déepartement de Mathéematiques et Informatique
Faculté des Sciences et Techniques
Université Abdou Moumouni
BP 10662, Niamey, NIGER
2Ecole Nationale d'Ingénieurs de Tunis
LAMSIN, BP 37, Tunis, TUNISIA
3Department of Mathematics
College of Sciences
King Saud University, Riyadh, SAUDI ARABIA
Abstract. This work is devoted to the numerical solution of the three dimensional (3D) compressible Navier-Stokes system on unstructured mesh. The numerical simulation are performed using a fractional step method treating separately the convection and the diffusion parts. The discretization is done by the finite volume method for the two parts. The convective flux is computed by the Godunov method and a new scheme is presented for the treatment of the diffusive flux. The technique is illustrated by solving various numerical problems.
AMS Subject classification: 65M08, 35Q30, 35Q31
Keywords and phrases: fractional step method, finite volume method, hyperbolic system, Riemann problem


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DOI: 10.12732/ijam.v28i1.6

Volume: 28
Issue: 1
Year: 2015