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- Steven M. Kast, Krzysztof J. Fidkowski
- J. Comput. Physics
- 2013

We present an output-based mesh adaptation strategy for Navier-Stokes simulations on deforming domains. The equations are solved with an arbitrary Lagrangian-Eulerian (ALE) approach, using a discontinuous Galerkin finite-element discretization in both space and time. Discrete unsteady adjoint solutions, derived for both the state and the geometric… (More)

This paper presents a novel approach to solution-based adaptation for unsteady discretiza-tions of symmetrizable conservation laws. This approach is based on an extension of the entropy adjoint approach, which was previously introduced for steady-state simulations. Key to the approach is the interpretation of symmetrizing entropy variables as adjoint… (More)

- Steven M. Kast, Marco A. Ceze, Krzysztof J. Fidkowski
- 2012

We present an output-based adaptation strategy for high-order simulations of the compressible Navier-Stokes equations on deformable domains. The equations are solved on a mapped reference domain using an arbitrary Lagrangian-Eulerian approach. The discretization is a discontinuous Galerkin finite-element method in space and time. Discrete unsteady adjoint… (More)

- Steven M. Kast, Johann P. S. Dahm, Krzysztof J. Fidkowski
- J. Comput. Physics
- 2015

a r t i c l e i n f o a b s t r a c t Obtaining accuracy along domain boundaries is often the primary goal of a numerical simulation. In this work, we show how the test space of discontinuous Galerkin (DG) methods can be optimized to achieve enhanced boundary accuracy for linear problems. Given some norm in which accuracy is desired, the optimal test… (More)

We present a new Boundary Discontinuous Petrov-Galerkin (BDPG) method for Computational Fluid Dynamics (CFD) simulations. The method represents a modification of the standard Hybrid Discontinuous Galerkin (HDG) scheme, and uses locally-computed optimal test functions to achieve enhanced accuracy along the domain boundaries. This leads to improved accuracy… (More)

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