TY - GEN

T1 - An Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach

AU - Salama, Amgad

AU - Sun, Shuyu

AU - El-Amin, Mohamed

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2015/6/1

Y1 - 2015/6/1

N2 - In this work, the experimenting fields approach is applied to the numerical solution of the Navier-Stokes equation for incompressible viscous flow. In this work, the solution is sought for both the pressure and velocity fields in the same time. Apparently, the correct velocity and pressure fields satisfy the governing equations and the boundary conditions. In this technique a set of predefined fields are introduced to the governing equations and the residues are calculated. The flow according to these fields will not satisfy the governing equations and the boundary conditions. However, the residues are used to construct the matrix of coefficients. Although, in this setup it seems trivial constructing the global matrix of coefficients, in other setups it can be quite involved. This technique separates the solver routine from the physics routines and therefore makes easy the coding and debugging procedures. We compare with few examples that demonstrate the capability of this technique.

AB - In this work, the experimenting fields approach is applied to the numerical solution of the Navier-Stokes equation for incompressible viscous flow. In this work, the solution is sought for both the pressure and velocity fields in the same time. Apparently, the correct velocity and pressure fields satisfy the governing equations and the boundary conditions. In this technique a set of predefined fields are introduced to the governing equations and the residues are calculated. The flow according to these fields will not satisfy the governing equations and the boundary conditions. However, the residues are used to construct the matrix of coefficients. Although, in this setup it seems trivial constructing the global matrix of coefficients, in other setups it can be quite involved. This technique separates the solver routine from the physics routines and therefore makes easy the coding and debugging procedures. We compare with few examples that demonstrate the capability of this technique.

UR - http://hdl.handle.net/10754/556667

UR - http://linkinghub.elsevier.com/retrieve/pii/S1877050915011114

UR - http://www.scopus.com/inward/record.url?scp=84939188626&partnerID=8YFLogxK

U2 - 10.1016/j.procs.2015.05.303

DO - 10.1016/j.procs.2015.05.303

M3 - Conference contribution

SP - 1229

EP - 1238

BT - Procedia Computer Science

PB - Elsevier BV

ER -