In this work we propose a simple but effective high order polynomial correction allowing to
enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet …

We propose novel high-order immersed boundary methods for simulating inviscid flows on
hierarchical Cartesian grids using the flux reconstruction (FR) method. A high-order …

In this paper, a fourth order augmented matched interface and boundary (AMIB) method is
proposed for solving a three-dimensional elliptic interface problem which involves a smooth …

No area of computing is hungrier for performance than High Performance Computing (HPC),
the demands of which continue to be a major driver for processor performance and adoption …

The conjugate heat transfer problem is found in many engineering applications and
comprises the heat transfer between solids and fluids in contact. The discretization method …

We propose a method for the numerical solution of a multiscale model describing sorption
kinetics of a surfactant around an oscillating bubble. The evolution of the particles is …

An arbitrary order finite difference method for curved boundary domains with Cartesian grid
is proposed. The technique handles in a universal manner Dirichlet, Neumann or Robin …

In this paper, a new Cartesian grid finite difference scheme is introduced for solving
parabolic initial-boundary value problems involving irregular domains and Robin boundary …

In this paper, energy-preserving time high-order average vector field (AVF) compact finite
difference scheme is proposed and analyzed for solving two-dimensional nonlinear wave …

In this article, a fourth-order finite-difference ghost-point method for the Poisson equation on
regular Cartesian mesh is presented. The method can be considered the high-order …