Quasi-Gasdynamic Algorithm for Magnetohydrodynamic Shallow Water Equations

In these balanced, i.e., waveless, flow regimes, gradients of the water height on scale L drive mean flows, which in conjunction with the short-range topography induce a

A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. On the advantage

The proposed algorithms rely on Finite Volume approximations formulated on collocated and staggered meshes, involving appropriate diffusion terms in the numerical fluxes, expressed

Trace-element modeling can test further the potential link between trachydacite fiamme and rhyolitic composi- tions as, respectively, end-members of the leftover cumu- late and

In a major step forward, we leverage the quasi-Hamiltonian structure of our spatial discretizations and recently proposed temporal discretization schemes to achieve exact

We show how the rotating shallow-water MHD model, which was proposed in the solar tachocline context, may be systematically derived by vertical averaging of the full MHD equations

For general bottoms, the equations derived from (2.9) are not well-balanced and, therefore, the Lagrangian density (2.9) does not provide a suitable regularisation of the

In the present study, we propose a modified version of the Nonlinear Shal- low Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the