A characteristic‐based method for incompressible flows

International Journal for Numerical Methods in Fluids - Tập 19 Số 8 - Trang 667-685 - 1994
Dimitris Drikakis1, P. A. Govatsos2, Dimitris Papantonis2
1Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, Cauerstr. 4, W-91058 Erlangen, Germany
2National Technical University of Athens, Department of Mechanical Engineering, Laboratory of Hydraulic Turbomachines, PO Box 64070, 15710 Zografos Athens, Greece

Tóm tắt

AbstractA 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.

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International Journal for Numerical Methods in Fluids

Tập 19 Số 8

667-685

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