scholarly journals Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes

2002 ◽  
Author(s):  
Giridhar Jothiprasad ◽  
Dimitri Mavriplis ◽  
David Caughey
Keyword(s):  
Stokes Equations ◽  
Time Integration ◽  
Unstructured Meshes ◽  
Higher Order ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Integration Schemes ◽  
Time Integration Schemes

scholarly journals A Navier-Stokes Inverse Method Based on a Moving Blade Wall Strategy

1997 ◽  
Author(s):  
Olivier Léonard ◽  
Alain Demeulenaere
Keyword(s):  
Inverse Method ◽  
Stokes Equations ◽  
Turbine Blades ◽  
Time Integration ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
The Difference ◽  
Compressor And Turbine Blades

A two-dimensional viscous inverse method for the design of compressor and turbine blades is presented. An initial geometry is modified iteratively to reach a target pressure distribution imposed on the blade surfaces. The Navier-Stokes equations are solved in a numerical domain of which some boundaries (the blade walls) move during the transient part of the computation. The blade modifications are based on the transpiration principle. The transpiration flux is computed from the difference between the actual and the prescribed pressure distributions. A high-resolution Navier-Stokes solver has been developed for this purpose, based on a Finite-Volume formulation. Multi-block structured grids allow for a selective concentration of discretization points in the zones of higher gradients. Both explicit (Runge-Kutta) and implicit (Newton-Krylov) time integration schemes have been implemented. Applications to turbine and compressor blade design illustrate the accuracy of the flow computation, and the efficiency of the inverse method.

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations
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