A new explicit method for the numerical solution of the compressible Navier-Stokes equations
Abstract
A new numerical algorithm is devised for solving the Navier-Stokes equations for unsteady compressible viscous flow. The method is based on a combination of the modified differential quadrature (MDQ) method with the rational Runge-Kutta time-integration scheme. It is fully explicit, requires no matrix inversion, and is stable at much larger time step than the usual explicit methods. One and two-dimensional flow problems are solved to demonstrate the accuracy and efficiency of the proposed algorithm. The present method is found to be very accurate and efficient when results are compared with other numerical solutions.
- Publication:
-
Computational and Asymptotic Methods for Boundary and Interior Layers
- Pub Date:
- 1982
- Bibcode:
- 1982camb.proc..364S
- Keywords:
-
- Compressible Flow;
- Computational Fluid Dynamics;
- Navier-Stokes Equation;
- Unsteady Flow;
- Viscous Flow;
- Algorithms;
- One Dimensional Flow;
- Quadratures;
- Runge-Kutta Method;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer