A numerical method for the solution of the Navier-Stokes equations with separated flow
Abstract
A numerical method has been developed to solve the Navier-Stokes equations in the presence of separation utilizing equation splitting to create a set of coupled nonlinear equations, describing pressure and viscous effects separately. The elliptic pressure equation is solved by relaxation methods. The parabolic-like viscous equation may be solved using marching techniques; however, in separated flow, it becomes non-well-posed and unstable finite-difference equations result. By replacing the variation of the dependent variable in the normal direction by a spectral series, it is possible to obtain a well-posed initial value problem, even in regions of backflow.
- Publication:
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AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1977
- Bibcode:
- 1977aiaa.meetS....D
- Keywords:
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- Navier-Stokes Equation;
- Pressure Effects;
- Separated Flow;
- Viscous Flow;
- Boundary Layer Equations;
- Boundary Value Problems;
- Finite Difference Theory;
- Flow Velocity;
- Nonlinear Equations;
- Relaxation Method (Mathematics);
- Fluid Mechanics and Heat Transfer