BONKILE, MP AWASTHI, A LAKSHMI, C MUKUNDAN, V ASWIN, VS

Even if numerical simulation of the Burgers' equation is well documented in the literature, a detailed literature survey indicates that gaps still exist for comparative discussion regarding the physical and mathematical significance of the Burgers' equation. Recently, an increasing interest has been developed within the scientific community, for st...

MALLIK, G NATARAJ, N RAYMOND, JP

In this paper, we discuss the numerical approximation of a distributed optimal control problem governed by the von Karman equations, defined in polygonal domains with point-wise control constraints. Conforming finite elements are employed to discretize the state and adjoint variables. The control is discretized using piece-wise constant approximati...

TRIPATHI, BB LUCA, A BASKAR, S COULOUVRAT, F MARCHIANO, R

This work aims at developing a high-order numerical method for the propagation of acoustic shock waves using the discontinuous Galerkin method. High order methods tend to amplify the formation of spurious oscillations (Gibbs phenomenon) around the discontinuities/shocks, associated to the relative importance of higher-harmonics resulting from nonli...

ROY, S PATHAK, U SINHA, K

Interaction of shock waves with turbulent boundary layers can enhance the surface heat flux dramatically. Reynolds-averaged Navier-Stokes simulations based on a constant turbulent Prandtl number often give grossly erroneous heat transfer predictions in shock/boundary-layer interaction flows. This is due to the fact that the underlying Morkovin's hy...

PATHAK, U ROY, S SINHA, K

High-speed flows with shock waves impinging on turbulent boundary layers pose severe challenge to current computational methods and models. Specifically, the peak wall heat flux is grossly overpredicted by Reynolds-averaged Navier-Stokes (RANS) simulations using conventional turbulence models. This is because of the constant Prandtl number assumpti...

Chevalier, Loïc Bruchon, Julien Moulin, Nicolas Liotier, Pierre-Jacques Drapier, Sylvain

This paper introduces a numerical method able to deal with a general bi-fluid model integrating capillary actions. The method relies first on the precise computation of the surface tension force. Considering a mathematical transformation of the surface tension virtual work, the regularity required for the solution on the evolving curved interface i...

Chevalier, Loïc Bruchon, Julien Moulin, Nicolas Liotier, Pierre-Jacques Drapier, Sylvain

This paper introduces a numerical method able to deal with a general bi-fluid model integrating capillary actions. The method relies first on the precise computation of the surface tension force. Considering a mathematical transformation of the surface tension virtual work, the regularity required for the solution on the evolving curved interface i...

Chevalier, Loïc Bruchon, Julien Moulin, Nicolas Liotier, Pierre-Jacques Drapier, Sylvain

This paper introduces a numerical method able to deal with a general bi-fluid model integrating capillary actions. The method relies first on the precise computation of the surface tension force. Considering a mathematical transformation of the surface tension virtual work, the regularity required for the solution on the evolving curved interface i...

Chevalier, Loïc Bruchon, Julien Moulin, Nicolas Liotier, Pierre-Jacques Drapier, Sylvain

This paper introduces a numerical method able to deal with a general bi-fluid model integrating capillary actions. The method relies first on the precise computation of the surface tension force. Considering a mathematical transformation of the surface tension virtual work, the regularity required for the solution on the evolving curved interface i...

Chevalier, Loïc Bruchon, Julien Moulin, Nicolas Liotier, Pierre-Jacques Drapier, Sylvain

This paper introduces a numerical method able to deal with a general bi-fluid model integrating capillary actions. The method relies first on the precise computation of the surface tension force. Considering a mathematical transformation of the surface tension virtual work, the regularity required for the solution on the evolving curved interface i...