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 ...
diffusionThe 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 schemes, the PPFAM3D employs the analytical ...
1.(a)DerivethethreedimensionalheatdiffusionequationinCartesiancoordinates(14%),and@)describethethreekindsofboundaryconditionsgenerallyencounteredinheat..
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...
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 5.3 The central differencing scheme 5.4 Properties of discretisation schemes ...
The archetypal parabolic equation is the diffusion equation, or heat equation, in one spatial dimension. Because it involves a time derivative of odd order, it is essentially irreversible in time, in sharp distinction with the wave equation. In physical terms one may say that the diffusion equati...
where D is the diffusion coefficient of the condensing vapor, N is particle number concentration for diameter Dp, and βM is the transitional regime correction factor. The calculation of CS might be underestimated without considering ambient RH39. NAQPMS+APM model A three-dimensional (3D) model,...
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...
Measurement of nanoscale three-dimensional diffusion in the interior of living cells by STED-FCS - Supplementary Material 1 together with a super-resolution stimulated emission depletion (STED) microscope, STED-FCS can measure diffusion processes on the nanoscale in living cells. ... L Lanzanò,L ...
In this calculation, based on the URANS equation and CFD, the three-dimensional incompressible flow is numerically simulated. Because the fluid is incompressible, the continuity equation and momentum equation under the URANS method are as follows: ∂𝑢 𝑖∂𝑥𝑖=0 ∂u¯i∂xi=0 (...