Dispersion Analysis for Discontinuous Spectral Element Methods
Journal of Scientific Computing
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
Journal of Computational Physics
A multidomain spectral method for supersonic reactive flows
Journal of Computational Physics
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
Journal of Computational Physics
Journal of Computational Physics
Polymorphic nodal elements and their application in discontinuous Galerkin methods
Journal of Computational Physics
Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators
Journal of Scientific Computing
Original article: Lanczos-Chebyshev pseudospectral methods for wave-propagation problems
Mathematics and Computers in Simulation
A generalized framework for nodal first derivative summation-by-parts operators
Journal of Computational Physics
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This paper presents asymptotically stable schemes for patching of nonoverlapping subdomains when approximating the compressible Navier--Stokes equations given on conservation form. The scheme is a natural extension of a previously proposed scheme for enforcing open boundary conditions and as a result the patching of subdomains is local in space. The scheme is studied in detail for Burgers's equation and developed for the compressible Navier--Stokes equations in general curvilinear coordinates.The versatility of the proposed scheme for the compressible Navier--Stokes equations is illustrated for quasi-one-dimensional transonic nozzle flows and for flows around an infinitely long circular cylinder.