In this work, a numerical solution for the diffusion equation applied to solids with arbitrary shape considering convective boundary condition is presented. To this end, the diffusion equation, written in generalized coordinates, was discretized by the finite-volume method with a fully implicit ...
1.(a)DerivethethreedimensionalheatdiffusionequationinCartesiancoordinates(14%),and@)describethethreekindsofboundaryconditionsgenerallyencounteredinheat..
three-dimensional calculationsunsteady flowconvectiondiffusionThe present contribution presents the piecewise parabolic finite analytic scheme (PPFAM3D) for the solution of the three-dimensional (3-D) convection-diffusion equation. The calculation domain is divided into cells, but unlike traditional numerical...
We present an explicit fourth-order compact finite difference scheme for approximating the three-dimensional (3D) convection–diffusion equation with variable coefficients. This 19-point formula is defined on a uniform cubic grid. Fourier smoothing analysis is performed to show that the smoothing factor...
来源期刊 Progress in Nuclear Energy 研究点推荐 multigroup neutron diffusion equations Poisson equation multigroup neutron diffusion equation Three-dimensional h-adaptivity Adaptive mesh refinement (AMR) 3D h-adaptivity 引用走势 2011 被引量:10 站内活动 0...
Due to the symmetry of the whole model, in order to improve the calculation efficiency and make the jet forming process more intuitive, a 1/2 three-dimensional finite element model is established, as shown in Fig. 6. Figure 6 Finite element model. Full size image The constitutive model of...
4.4 Finite volume method for two-dimensional diffusion problems 4.5 Finite volume method for three-dimensional diffusion problems 4.6 Summary 5 The finite volume method for convection-diffusion problems 5.1 Introduction 5.2 Steady one-dimensional convection and diffusion ...
The solution of the three-dimensional radiative transfer equation in weakly horizontally inhomogeneous medium has been obtained in the diffusion approximat... VL Galinsky,V Ramanathan - 《Journal of the Atmospheric Sciences》 被引量: 757发表: 2010年 The finite-element method for the propagation of...
The great thing about this equation is that it symbolically encapsulates our entire algorithm for simulating fluid flow. We first compute what's inside the parentheses on the right-hand side. From left to right, we compute the advection, diffusion, and force terms. Application of these ...
In this study, we investigate the identification of an unknown flux function and diffusion coefficient in a one-dimensional convection-diffusion equation. The diffusion function is allowed to vanish on intervals implying that solutions generally possess low regularity, i.e., are discontinuous. Therefore...