We initiate the study of the discontinuous Galerkin residual-based variational multiscale (DG-RVMS) method for incorporating subgrid-scale behavior into the finite element solution of hyperbolic problems. We use the one-dimensional viscous Burgers equation as a model problem, as its energy dissipation mechanism is analogous to that of turbulent flows. We first develop the DG-RVMS formulation for a general class of nonlinear hyperbolic problems with a diffusion term, based on the decomposition of the true solution into discontinuous coarse-scale and fine-scale components. In contrast to existing continuous variational multiscale methods, the DG-RVMS formulation leads to additional fine-scale element interface terms. For the Burgers equation,...
In this work we perform a-priori analyses of the Discontinuous Galerkin (DG) Variational Multiscale ...
This thesis is concerned with one of the most promising approaches to the numerical simulation of tu...
This dissertation presents residual-based turbulence models for problems with moving boundaries and ...
We initiate the study of the discontinuous Galerkin residual-based variational multiscale (DG-RVMS) ...
In this work the residual-based variational multiscale method is presented in a discontinuous Galerk...
A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the ortho...
This is the accepted version of the following article: [Bayona C, Baiges J, Codina R. Variational mu...
A numerical approximation for the one-dimensional Burgers equation is proposed by means of the ortho...
Abstract. We propose a new class of Discontinuous Galerkin (DG) methods based on variational multisc...
a b s t r a c t In this paper we develop two discontinuous Galerkin formulations within the framewor...
Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation. It can ...
International audienceThis paper introduces a variational multiscale simulation (VMS) approach in th...
In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. T...
The basic idea of multiscale methods, namely the decomposition of a problem into a coarse scale and ...
The work performed as part of this grant may be described in the context of developing numerical met...
In this work we perform a-priori analyses of the Discontinuous Galerkin (DG) Variational Multiscale ...
This thesis is concerned with one of the most promising approaches to the numerical simulation of tu...
This dissertation presents residual-based turbulence models for problems with moving boundaries and ...
We initiate the study of the discontinuous Galerkin residual-based variational multiscale (DG-RVMS) ...
In this work the residual-based variational multiscale method is presented in a discontinuous Galerk...
A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the ortho...
This is the accepted version of the following article: [Bayona C, Baiges J, Codina R. Variational mu...
A numerical approximation for the one-dimensional Burgers equation is proposed by means of the ortho...
Abstract. We propose a new class of Discontinuous Galerkin (DG) methods based on variational multisc...
a b s t r a c t In this paper we develop two discontinuous Galerkin formulations within the framewor...
Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation. It can ...
International audienceThis paper introduces a variational multiscale simulation (VMS) approach in th...
In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. T...
The basic idea of multiscale methods, namely the decomposition of a problem into a coarse scale and ...
The work performed as part of this grant may be described in the context of developing numerical met...
In this work we perform a-priori analyses of the Discontinuous Galerkin (DG) Variational Multiscale ...
This thesis is concerned with one of the most promising approaches to the numerical simulation of tu...
This dissertation presents residual-based turbulence models for problems with moving boundaries and ...