AbstractA smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in detecting shocks, high order discontinuities, regions of smooth solutions, and numerical “instability”
We consider a recently developed conservative shock filter model in order to postprocess numerical s...
A shock capturing strategy for higher order Discontinuous Galerkin approximations of scalar conserva...
Thesis (Ph.D.)--University of Washington, 2017-06This thesis focuses on several developments toward ...
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) methods. The ...
The development of the shock capturing methodology is reviewed, paying special attention to the incr...
We propose a data-driven artificial viscosity model for shock capturing in discontinuous Galerkin me...
Shock capturing has been a challenge for computational fluid dynamicists over the years. This articl...
The new concept of numerical smoothness is applied to the RKDG (Runge-Kutta/Discontinuous Galerkin) ...
Abstract. We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) met...
The development is reviewed of shock capturing methods, paying special attention to the increasing n...
In [28] and [13], an error estimate of optimal convergence rates and optimal error propagation (opti...
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) met...
This paper is concerned with regularization of shock solutions of nonlinear hyperbolic equations, i....
In this paper we consider high-order centered finite difference approximations of hyperbolic conserv...
Recent developments which have improved the understanding of how finite difference methods resolve d...
We consider a recently developed conservative shock filter model in order to postprocess numerical s...
A shock capturing strategy for higher order Discontinuous Galerkin approximations of scalar conserva...
Thesis (Ph.D.)--University of Washington, 2017-06This thesis focuses on several developments toward ...
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) methods. The ...
The development of the shock capturing methodology is reviewed, paying special attention to the incr...
We propose a data-driven artificial viscosity model for shock capturing in discontinuous Galerkin me...
Shock capturing has been a challenge for computational fluid dynamicists over the years. This articl...
The new concept of numerical smoothness is applied to the RKDG (Runge-Kutta/Discontinuous Galerkin) ...
Abstract. We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) met...
The development is reviewed of shock capturing methods, paying special attention to the increasing n...
In [28] and [13], an error estimate of optimal convergence rates and optimal error propagation (opti...
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) met...
This paper is concerned with regularization of shock solutions of nonlinear hyperbolic equations, i....
In this paper we consider high-order centered finite difference approximations of hyperbolic conserv...
Recent developments which have improved the understanding of how finite difference methods resolve d...
We consider a recently developed conservative shock filter model in order to postprocess numerical s...
A shock capturing strategy for higher order Discontinuous Galerkin approximations of scalar conserva...
Thesis (Ph.D.)--University of Washington, 2017-06This thesis focuses on several developments toward ...