Premium
A characteristic‐based method for incompressible flows
Author(s) -
Drikakis D.,
Govatsos P. A.,
Papantonis D. E.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650190803
Subject(s) - mathematics , jacobian matrix and determinant , upwind scheme , discretization , incompressible flow , laminar flow , pressure correction method , interpolation (computer graphics) , compressibility , eigenvalues and eigenvectors , flow (mathematics) , mathematical analysis , geometry , mechanics , classical mechanics , physics , motion (physics) , quantum mechanics
A new characteristic‐based method for the solution of the 2D laminar incompressible Navier‐Stokes equations is presented. For coupling the continuity and momentum equations, the artificial compressibility formulation is employed. The primitives variables (pressure and velocity components) are defined as functions of their values on the characteristics. The primitives variables on the characteristics are calculated by an upwind diffencing scheme based on the sign of the local eigenvalue of the Jacobian matrix of the convective fluxes. The upwind scheme uses interpolation formulae of third‐order accuracy. The time discretization is obtained by the explicit Runge–Kutta method. Validation of the characteristic‐based method is performed on two different cases: the flow in a simple cascade and the flow over a backwardfacing step.