54 citations · 122 across the 9 of their papers we have counts for
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A Deferred Correction, Continuous Galerkin Method for Curvilinear Staggered-Grid Lagrangian Hydrodynamics
Steven Walton, Svetlana Tokareva, Nathaniel Morgan
We present a continuous Galerkin, Deferred Correction (cG-DeC) method for the equations of Lagrangian hydrodynamics. The proposed scheme combines a high-order continuous finite ele…
Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion
Ben S. Southworth, HyeongKae Park, Svetlana Tokareva +1
Radiation hydrodynamics are a challenging multiscale and multiphysics set of equations. To capture the relevant physics of interest, one typically must time step on the hydrodynami…
Stochastic Finite Volume Method for Uncertainty Quantification of Transient Flow in Gas Pipeline Networks
Svetlana Tokareva, Anatoly Zlotnik, Vitaliy Gyrya
We develop a weakly intrusive framework to simulate the propagation of uncertainty in solutions of generic hyperbolic partial differential equation systems on graph-connected domai…
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability
Rémi Abgrall, Jan Nordström, Philipp Öffner +1
In the research community, there exists the strong belief that a continuous Galerkin scheme is notoriously unstable and additional stabilization terms have to be added to guarantee…
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems
Rémi Abgrall, Jan Nordström, Philipp Öffner +1
In the hyperbolic community, discontinuous Galerkin approaches are mainly applied when finite element methods are considered. As the name suggested, the DG framework allows a disco…
"A Posteriori" Limited High Order and Robust Residual Distribution Schemes for Transient Simulations of Fluid Flows in Gas Dynamics
Paola Bacigaluppi, Rémi Abgrall, Svetlana Tokareva
In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the…
Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics
R. Abgrall, K. Lipnikov, N. Morgan +1
We present the second-order multidimensional Staggered Grid Hydrodynamics Residual Distribution (SGH RD) scheme for Lagrangian hydrodynamics. The SGH RD scheme is based on the stag…
Model order reduction for parametrized nonlinear hyperbolic problems as an application to Uncertainty Quantification
R. Crisovan, D. Torlo, R. Abgrall +1
In this work, we focus on reduced order modeling (ROM) techniques for hyperbolic conservation laws with application in uncertainty quantification (UQ) and in conjunction with the w…
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics
Remi Abgrall, Paola Bacigaluppi, Tokareva Svetlana
In the present work, a high order finite element type residual distribution scheme is designed in the framework of multidimensional compressible Euler equations of gas dynamics. Th…
A high-order nonconservative approach for hyperbolic equations in fluid dynamics
Remi Abgrall, P Bacigaluppi, S Tokareva
It is well known, thanks to Lax-Wendroff theorem, that the local conservation of a numerical scheme for a conservative hyperbolic system is a simple and systematic way to guarantee…
How to avoid mass matrix for linear hyperbolic problems
Remi Abgrall, Paola Bacigaluppi, Svetlana Tokareva
We are interested in the numerical solution of linear hyperbolic problems using continuous finite elements of arbitrary order. It is well known that this kind of methods, once the…