10 citations · 15 across the 7 of their papers we have counts for
8 papers
Complete flux scheme for variable velocity fields: coupling between the advection-diffusion equation and the Poisson equation for the velocity field
Hanz Martin Cheng, Jan ten Thije Boonkkamp
In this work, we consider an advection-diffusion equation, coupled to a Poisson equation for the velocity field. This type of coupling is typically encountered in models arising fr…
Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas
Hanz Martin Cheng, Jan ten thije Boonkkamp, Jesper Janssen +2
In this paper, we propose a numerical scheme for fluid models of magnetised plasmas. One important feature of the numerical scheme is that it should be able to handle the anisotrop…
A fully local hybridised second-order accurate scheme for advection-diffusion equations
Hanz Martin Cheng
In this paper, we present a fully local second-order upwind scheme, applicable on generic meshes. This is done by hybridisation, which is achieved by introducing unknowns on each e…
A generalised complete flux scheme for anisotropic advection-diffusion equations
Hanz Martin Cheng, Jan ten Thije Boonkkamp
In this paper, we consider separating the discretisation of the diffusive and advective fluxes in the complete flux scheme. This allows the combination of several discretisation me…
An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D
Hanz Martin Cheng, Jerome Droniou
In this paper, we develop the ball-approximated characteristics (B-char) method, which is an algorithm for efficiently implementing characteristic-based schemes in 2D and 3D. Core…
A combined GDM--ELLAM--MMOC scheme for advection dominated PDEs
Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le
We propose a combination of the Eulerian Lagrangian Localised Adjoint Method (ELLAM) and the Modified Method of Characteristics (MMOC) for time-dependent advection-domina\-ted PDEs…
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
Hanz Martin Cheng, Jerome Droniou, Kim-Ngan Le
We analyse the convergence of numerical schemes in the GDM-ELLAM (Gradient Discretisation Method-Eulerian Lagrangian Localised Adjoint Method) framework for a strongly coupled elli…
An HMM--ELLAM scheme on generic polygonal meshes for miscible incompressible flows in porous media
Hanz Martin Cheng, Jerome Droniou
We design a numerical approximation of a system of partial differential equations modelling the miscible displacement of a fluid by another in a porous medium. The advective part o…