Methods of Solution of the Velocity-Vorticity Formulation of the Navier-Stokes Equations
Autor: | S. C. R. Dennis, J. D. Hudson |
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Rok vydání: | 1995 |
Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Independent equation Applied Mathematics Mathematical analysis Vorticity Computer Science Applications Euler equations Physics::Fluid Dynamics Computational Mathematics symbols.namesake Continuity equation Incompressible flow Pressure-correction method Modeling and Simulation Stokes' law symbols Navier–Stokes equations Mathematics |
Zdroj: | Journal of Computational Physics. 122:300-306 |
ISSN: | 0021-9991 |
Popis: | Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocity-vorticity formulation. The main feature of the work is the solution of the equation of continuity using boundary-value techniques. This is possible because both of the velocity components are known at each boundary point. Some illustrative results are computed including some for heat convection inside a square cavity when one side is held at a constant temperature. 11 refs., 9 tabs. |
Databáze: | OpenAIRE |
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