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Non-unique numerical solutions of transonic flows have been found, first for potential flow equation, and later for Euler and RANS equations. The studies conducted so far have been m...
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
An adaptive mesh refinement strategy that couples feature detection with local error estimation is presented. The strategyfirst selects vortical regions for refinement using feature ...
This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is de...
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is re...
This paper presents the development of a 2D high-order solver with unstructured spectral difference method for unsteady incompressible Navier-Stokes equations.
In this study, we investigate the method for adjoint-based optimal control of linear and non-linear equations. In particular, we are interested in the formulation of the unsteady adjoint method based ...
This paper presents simulations of unsteady flow past plunging and pitching airfoils using a high-order spectral difference (SD) method. Both third-order and fourth-order SD methods are employed...
We explore the idea of using nonlinear schemes as preconditioners in Newton-Krylov schemes for unsteady flow computations. Analysis shows that left preconditioning changes the Newton scheme in a...
The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton-Krylov-solvers is considered and analyzed. We provide a novel formulation of the left precondition...
The objective of this study is to compare and contrast three numerical algorithms that can be used to estimate the forces and pressure distribution on wings in flapping motion. All algorithms ar...
The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton Krylov-solvers is considered and analyzed, with a special emphasis on unsteady viscous flows...
The present investigation examines the suppression of unsteady, two-dimensional wake instabilities of a pair of identical circular cylinders, placed side-by-side normal to freestream at a low Reynolds...
This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their corresponding boundary co...
In this paper, we propose an extension of the Harmonic Balance method for three dimensional, unsteady, multi-stage turbomachinery problems modeled by the Unsteady Reynolds-Averaged Navier-Stokes (URAN...

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