In this paper the damage location in beam like-structure is determined using static and dynamic data obtained using finite volume method. The change of static and dynamic displacement due to damage is used to establish an indicator for determining the damage location. In order to assess the robustness of the proposed method for structural damage detection, three test examples including a static...

Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDMwith variant mesh densities, discrete forms, and treatmen...

We present a finite-volume formulation for the lattice Boltzmann method (FVLBM) based on standard bilinear quadrilateral elements in two dimensions. The accuracy of this scheme is demonstrated by comparing the velocity field with the analytical solution of the Navier-Stokes equations for time dependent rotating Couette flow and Taylor vortex flow. To demonstrate the flexibility of the scheme, w...

because of its widespread needs in different scientific fields, statistics and probability theory have gained great importance and medical students as well as students of other medically related disciplines including nursing need to use them especially in their research projects in undergraduate, graduate and postgraduate schools. this article deals with the question of finding the most effecti...

This paper is concerned with the Richards equation in a heterogeneous domain, each subdomain of which homogeneous and represents rocktype. Our first contribution to rigorously prove convergence toward weak solution cell-centered finite-volume schemes upstream mobility without Kirchhoff’s transform. second numerically demonstrate relevance locally refining grid at interface between subregions, w...

Abstract This paper reports the development of a numerical solver aimed to simulate interaction between space charge (i.e. ions) distribution and electric field in liquid argon time projection chamber (LArTPC) detectors. The ion transport equation is solved by time-accurate, cell-centered finite volume method potential continuous element method. updates which provides drift velocity equation. d...

The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order numerical methods for hyperbolic partial differential equations (PDEs). While WENO schemes on structured meshes are quite mature, the development of finite volume WENO schemes on unstructured meshes is more difficult. A major difficulty is how to design a robust WENO reconstruction procedure to deal with d...

We develop a finite element discretization for the weakly symmetric equations of linear elasticity on tetrahedral meshes. The finite element combines, for r ≥ 0, discontinuous polynomials of r for the displacement, H(div)-conforming polynomials of order r+1 for the stress, and H(curl)-conforming polynomials of order r + 1 for the vector representation of the multiplier. We prove that this tripl...