Finite Volume upwind schemes for the Euler equations in the low Mach number regime face a problem of lack of convergence toward the solutions of the incompressible system. However, if applied to cell centered triangular grid, this problem disappears and convergence toward the incompressible solution is recovered. Extending the work of [3] that prove this result for regular triangular grid, we g...

In a preceding paper (Hackbusch, Computing 62 (1999) 89–108), a class of matrices (H-matrices) has been introduced which are data-sparse and allow an approximate matrix arithmetic of almost linear complexity. Several types ofH-matrices have been analysed in Hackbusch (Computing 62 (1999) 89–108) and Hackbusch and Khoromskij (Preprint MPI, No. 22, Leipzig, 1999; Computing 64 (2000) 21–47) which ...

The multislope concept has been recently introduced in the literature to deal with MUSCL reconstructions on triangular and tetrahedral unstructured meshes in the finite volume cell-centered context. Dedicated scalar slopes are used to compute the interpolations on each face of a given element, in opposition to the monoslope methods in which a unique limited gradient is used. The multislope appr...

Explicit time advancement for continuous finite elements requires the inversion of a global mass matrix. For spectral element simulations on quadrilaterals and hexahedra, there is an accurate approximate matrix which diagonal, making it computationally efficient explicit simulations. In this article shown that standard space polynomials used with triangular elements, denoted $\mathcal{T}(p)$, w...

We describe the first application of two mixed finite element methods to equations glacier evolution under different simplifying assumptions, along with a framework for implicit solution coupled velocity-thickness equations. The method uses Raviart-Thomas elements velocity and piecewise constants thickness is reframing classic staggered-grid difference case unstructured triangular meshes. secon...

This paper presents an adaptive method for variational curve smoothing based on level set implementation. A suitable cost functional is minimized via solving the derived Euler– Lagrangian equation, of which the discretization is conducted on unstructured triangular meshes by employing a simple and effective finite volume scheme. Through adaptive refinement of the mesh, the geometry features of ...

We present an efficient tool for the numerical simulation of high speed flows in two and threedimensional domains. The space discretization is carried out with the finite volume method on unstructured triangular and tetrahedral meshes. In order to achieve sufficiently accurate capturing of shock waves, we have applied the anisotropic mesh adaptation technique which seems to be very suitable for...

A strategy for computing aeroelastic solutions is proposed. An implicit LU fac-torisation scheme for solving the time dependent Euler equations on unstructured triangular meshes is presented and coupled with a typical section aeroelastic wing model. EEciency is improved by coupling the LU factorisation scheme with a GM-RES algorithm. In this case the LU scheme plays the role of a preconditioner...