Abstract. Advection of trace species, or tracers, also called tracer transport, in models the atmosphere and other physical domains is an important potentially computationally expensive part a model's dynamical core. Semi-Lagrangian (SL) advection methods are efficient because they permit time step much larger than advective stability limit for explicit Eulerian without requiring solution globa...

This paper presents a novel semi-implicit hybrid finite volume / element (FV/FE) scheme for the numerical solution of incompressible and weakly compressible Navier-Stokes equations on moving unstructured meshes using direct Arbitrary-Lagrangian-Eulerian (ALE) formulation. The is based suitable splitting governing partial differential into subsystems employs staggered grid arrangement, where pre...

finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.

This document contains additional information related to the algorithms presented in [1]. In particular, Section S-I presents a second ADMM algorithm for sensitivity profile estimation. Section S-II presents an alternate formulation that leads to additional AL estimation algorithms with similar performance. Section S-III illustrates the improved SENSE reconstruction quality resulting from using...

In this paper we propose a unified formulation to introduce and analyze (pure) Lagrangian and semi-Lagrangian methods for solving convection-diffusion partial differential equations. This formulation allows us to state classical and new numerical methods. Several examples are given. We combine them with finite element methods for spatial discretization. One of the pure Lagrangian methods we int...

This work is devoted to numerical modeling and simulation of flows of granular materials, with application to geophysical flows such as avalanches and debris flows. We consider an incompressible viscoplastic fluid, described by a rheology with pressure dependent yield stress, in a two-dimensional setting with a free surface. The regularization method is used to deal with the singularity of the ...

soil slopes are sometimes curved in plan rather than being straight. this curvature,especially when it is convex, decreases the bearing capacity of the slope. finite element methodhas been used here in this research to investigate the reducing effect of curvature on bearingcapacity of a slope. failure of soil has been assumed to be according to mohr-coulomb criteria;but the flow rule of the soi...