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- Marco Kupiainen, Björn Sjögreen
- J. Sci. Comput.
- 2009

In this paper, we present an unsplit method for the time-dependent compressible Navier-Stokes equations in two and three dimensions. We use a a conservative, second-order Godunov algorithm. We use a Cartesian grid, embedded boundary method to resolve complex boundaries. We solve for viscous and conductive terms with a second-order semiimplicit algorithm. We… (More)

- Viktor Linders, Marco Kupiainen, Jan Nordström
- J. Comput. Physics
- 2017

We present a procedure for constructing Summation-by-Parts operators with minimal dispersion error both near and far from numerical interfaces. Examples of such operators are constructed and compared with a higher order non-optimised Summation-by-Parts operator. Experiments show that the optimised operators are superior for wave propagation and turbulent… (More)

Experiences from using a higher order accurate finite difference multiblock solver to compute the time dependent flow over a cavity is summarized. The work has been carried out as part of a work in a European project called IDIHOM in a collaboration between the Swedish Defense Research Agency (FOI) and University of Linköping (LiU). The higher order code is… (More)

We present an Embedded Boundary Cartesian Grid method to set Dirichlet, Neumann and extrapolation boundary conditions for the compressible Navier-Stokes equations in twoand three dimensions. Of great interest is the coupling LES/wall-model/embedded boundary for simulating compressible flow applications. The main challenge with the embedded boundary method… (More)

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