ThreeDimensional Steady Stratified Flows: A Numerical Approach
Abstract
A multilayer model consisting of n homogeneous layers is used to describe the threedimensional steady flow of a continuously stratified, incompressible fluid under the assumption of hydrostatic balance. For n = 1, one has the classical shallow water theory and the governing equations correspond to those for the steady twodimensional flow of a compressible gas with y, the ratio of specific heats, equal to 2. For n > 1, the equations form a nonlinear system of partial differential equations of order 2 n. For most practical stratified flow problems this system is neither totally hyperbolic or totally elliptic; i.e., it possesses both real and imaginary characteristics over the entire domain of interest. A numerical algorithm for this "mixed" case is proposed and calculations for a twolayer model are presented. Continuous solutions are shown to exist for sufficiently flat and smooth obstacles.
 Publication:

Journal of Computational Physics
 Pub Date:
 June 1982
 DOI:
 10.1016/00219991(82)900237
 Bibcode:
 1982JCoPh..46..397S
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 Numerical Flow Visualization;
 Steady Flow;
 Stratified Flow;
 Three Dimensional Flow;
 Algorithms;
 Cylinders;
 Flow Distortion;
 Flow Equations;
 Flow Geometry;
 Linear Equations;
 Fluid Mechanics and Heat Transfer