A shock capturing algorithm for the NavierStokes equations
Abstract
An implicit numerical algorithm for the unsteady Euler and NavierStokes equations is presented. This algorithm is based on flux vector splitting to retain the proper direction of information flow in the algorithm's numerical domain of dependence and on a finite volume formulation to insure conservation. Results from a onedimensional shock tube problem show that expansions are accurately computed and that shocks are sharply defined. The algorithm remains stable and accurate for shocks of seemingly unlimited strength and improvement in convergence rate is obtained. The use of these methods for higherdimensional viscous flows is discussed and results from a twodimensional flat plate boundarylayer problem show good accuracy on a twodimensional nonuniform grid.
 Publication:

5th Computational Fluid Dynamics Conference
 Pub Date:
 1981
 Bibcode:
 1981cfd..conf..231R
 Keywords:

 Boundary Layer Flow;
 Computational Fluid Dynamics;
 NavierStokes Equation;
 Shock Waves;
 Unsteady Flow;
 Accuracy;
 EulerCauchy Equations;
 Flat Plates;
 Flow Distortion;
 Flow Stability;
 One Dimensional Flow;
 Shock Tubes;
 Two Dimensional Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer