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...

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...

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...

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...

Carrillo de la Plata, JA Wroblewska-Kaminska, A Zatorska, E

Hydrodynamic systems arising in swarming modeling include nonlocal forces in the form of attractive–repulsive potentials as well as pressure terms modeling strong local repulsion. We focus on the case where there is a balance between nonlocal attraction and local pressure in presence of confinement in the whole space. Under suitable assumptions on ...

Horstmann, Jan

Despite the inherent efficiency and low dissipative behaviour of the standard lattice Boltzmann method (LBM) relying on a two step stream and collide algorithm, a major drawback of this approach is the restriction to uniform Cartesian grids. The adaptation of the discretization step to varying fluid dynamic scales is usually achieved by multi-scale...

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...

Bauer, Werner Cotter, Colin J

We describe an energy-enstrophy conserving discretisation for the rotating shallow water equations with slip boundary conditions. This relaxes the assumption of boundary-free domains (periodic solutions or the surface of a sphere, for example) in the energy-enstrophy conserving formulation of McRae and Cotter (2014). This discretisation requires ex...

Xu, Hui Cantwell, Chris D. Monteserin, Carlos Eskilsson, Claes Engsig-Karup, Allan P. Sherwin, Spencer J.
Published in
Journal of Hydrodynamics

The spectral/hp element method combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, employing high-degree piecewise polynomial basis functions on coarse finite element-type meshes. The spatial approximation is based upon orthogonal polynomials, such as Legen...