Discontinuity-capturing operators for elastodynamics

Discontinuity-capturing Directional Dissipation (dcdd) in Computation of Turbulent Flows

Abstract. Stabilized formulations are now widely used in the computation of turbulent flows. The Streamline-Upwind/Petrov-Galerkin (SUPG) and Pressure-Stabilizing/PetrovGalerkin (PSPG) methods are among the most popular stabilized formulations. The Discontinuity Capturing Directional Dissipation (DCDD) was first introduced as a complement to the SUPG and PSPG stabilizations for the computation ...

An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics

Article history: Received 16 July 2013 Received in revised form 16 April 2014 Accepted 21 April 2014 Available online 28 April 2014

Discontinuity of the trapezoidal fuzzy number-valued operators preserving core

Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics

We present a non-diffusive and contact discontinuity capturing scheme for linear advection and compressible Euler system. In the case of advection, this scheme is equivalent to the Ultra-Bee limiter of [20], [24]. We prove for the Ultra-Bee scheme a property of exact advection for a large set of piecewise constant functions. We prove that the numerical error is uniformly bounded in time for suc...

High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

In this paper, we extend the high order finite-difference method with subcell resolution (SR) in [34] for two-species stiff one-reactionmodels to multispecies and multireaction inviscid chemical reactive flows, which are significantly more difficult because of the multiple scales generated by different reactions. For reaction problems, when the reaction time scale is very small, the reaction zo...