Runge-Kutta upwind multigrid multi-block three-dimensional thin layer Navier-Stokes solver
A state-of-the-art computer code has been developed that incorporates a modified Runge-Kutta time integration scheme, Upwind numerical techniques, Multigrid acceleration, and Multi-block capabilities (RUMM). A three-dimensional thin-layer formulation of the Navier-Stokes equations is employed. For turbulent flow cases, the Baldwin-Lomax algebraic turbulence model is used. Two different upwind techniques are available, van Leer's flux-vector splitting and Roe's flux-difference splitting. Full approximation multigrid plus implicit residual and corrector smoothing were implemented to enhance the rate of convergence. Multi-block capabilities were developed to provide geometric flexibility. This feature allows the developed computer code to accomodate any grid topology or grid configuration with multiple topologies. The results shown in this dissertation were chosen to validate the computer code and display its geometric flexibility, which is provided by the multi-block structure.
- Research Organization:
- Old Dominion Univ., Norfolk, VA (United States)
- OSTI ID:
- 5828280
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NAVIER-STOKES EQUATIONS
ALGORITHMS
RUNGE-KUTTA METHOD
TURBULENT FLOW
COMPUTERIZED SIMULATION
HYDRAULICS
MATHEMATICS
MESH GENERATION
R CODES
THREE-DIMENSIONAL CALCULATIONS
TURBULENCE
CALCULATION METHODS
COMPUTER CODES
DIFFERENTIAL EQUATIONS
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FLUID FLOW
FLUID MECHANICS
ITERATIVE METHODS
MATHEMATICAL LOGIC
MECHANICS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers