Ⅰ. INTRODUCTION Poisson equation is a popular partial differential equation. Its terms on the right hand are continuous and differentiable functions or discrete nodal values which are intermediate quantities in the c...Ⅰ. INTRODUCTION Poisson equation is a popular partial differential equation. Its terms on the right hand are continuous and differentiable functions or discrete nodal values which are intermediate quantities in the computational process. The centered five-point difference scheme is the most common one used to solve Poisson equation, but its truncation error is O(H^2).展开更多
Convection-diffusion equation is one of the basic differential equations of motion, describing transport process of momentum, vorticity, heat and energy. The convectional algorithm is either central or upwind differen...Convection-diffusion equation is one of the basic differential equations of motion, describing transport process of momentum, vorticity, heat and energy. The convectional algorithm is either central or upwind difference scheme being accurate in first or second order. Many researchers have been trying to devise a more accurate and stable finite-difference scheme. Lin Qun and Lü Tao have proposed a predictor-corrector difference scheme. Basing on the higher order scheme of Poisson equation, we develop a new finite-difference scheme to solve convection-diffusion equations.展开更多
文摘Ⅰ. INTRODUCTION Poisson equation is a popular partial differential equation. Its terms on the right hand are continuous and differentiable functions or discrete nodal values which are intermediate quantities in the computational process. The centered five-point difference scheme is the most common one used to solve Poisson equation, but its truncation error is O(H^2).
文摘Convection-diffusion equation is one of the basic differential equations of motion, describing transport process of momentum, vorticity, heat and energy. The convectional algorithm is either central or upwind difference scheme being accurate in first or second order. Many researchers have been trying to devise a more accurate and stable finite-difference scheme. Lin Qun and Lü Tao have proposed a predictor-corrector difference scheme. Basing on the higher order scheme of Poisson equation, we develop a new finite-difference scheme to solve convection-diffusion equations.
