A finite proximate method was presented to solve the convection-diffusion equation in curvilinear grids. The method has characteristics of automatic upwind effect and the good stability. It was verified through
《传热与流体流动的数值计算》学习草记 5 Convection and Diffusion 5.1 The Task 5.2 Steady One-dimensional Convection and Diffusion 5.2.1 A Preliminary Derivation 5.2.2 The Upwind Scheme 5.2.3 The Exact Solution 5.2.4 The Exponential Scheme 5.2.5 The Hybrid Scheme 5.2.6 The Power-Law Scheme 5.2...
In this study we derive a mathematically rigorous kernel function, which accounts for the interaction among particles, within the framework of the particle method, to predict a computationally more accurate solution for the convection-diffusion equation investigated at low as well as high Peclet ...
We consider similarity solutions of the generalized convection-diffusion-reaction equation with both space- and time-dependent convection, diffusion and reaction terms. By introducing the similarity variable, the reaction-diffusion equation is reduced to an ordinary differential equation. Matching the resulti...
In this paper we present an operator splitting method for the scalar convection-diffusion equation (1.1) u t + m X i=1 f i (u) x i = " m X i=1 u x i x i ; u (x 1 ; : : : ; xm ; 0) = u 0 (x 1 ; : : : ; xm ) : For brevity of notation, we shall ...
A new moving mesh scheme based on the Lagrange–Galerkin method for the approximation of the one-dimensional convection–diffusion equation is st
non-linear nature of the equation, can also induce the convergence of the method to a solution that is not the entropy solution; see the 1976 paper by Harten et al. [69]. This impasse between high-order accuracy and convergence to the ...
Derive the heat diffusion equation for spherical coordinates beginning with the differential control volume shown below. What important boundary layer parameters are linked by the Reynolds analogy? A heat source at 800 K loses 2000 kJ of heat to ...
This sequencing method allows us to solve both hyperbolic and parabolic equations and to extend the frequency response of the numerical solution. Simulation results are given for linear and nonlinear reaction kinetics. These are compared with the exact solution for the high diffusion case and with ...
E. Yee, Application of the decomposition method to the solution of the reaction-convection- diffusion equation, Appl. Math. Comput. 56 (1993) 1 27.E. Yee, Application of the decomposition method to the solution of the reaction-convection-diffusion equation, Appl. Math. Comput, 56 (1) (...