把ENO插值和MMOCAA“(The modified method of characteristics with adjusted advection,Jim Douglas,Jr.,Numer.Math.(1999),Vol.83:353-369)”差分方法相结合,提出了求解对流扩散方程的ENO-MMOCAA差分方法,避免了原来基于高阶Langra...把ENO插值和MMOCAA“(The modified method of characteristics with adjusted advection,Jim Douglas,Jr.,Numer.Math.(1999),Vol.83:353-369)”差分方法相结合,提出了求解对流扩散方程的ENO-MMOCAA差分方法,避免了原来基于高阶Langrange插值的MMOCAA差分方法在解的陡峭前缘附近产生的震荡。本文给出了格式的误差估计及数值算例。展开更多
By combing the three-step modified method of characteristics and MMOCAA difference method with UNO interpolation, the three-step UNO-MMOCAA finite difference method is established for convection-dominated diffusion pr...By combing the three-step modified method of characteristics and MMOCAA difference method with UNO interpolation, the three-step UNO-MMOCAA finite difference method is established for convection-dominated diffusion problems in this paper. The scheme is two-order accurate in space and time and is free from the oscillation near the steep front, with which the problem is solved by three-step MMOCAA finite difference method based on two-order Lagrange interplation. Using the new method, we give an estimate analysis of the scheme and a numerical example.展开更多
The nonosillatory characteristic diffeence method for the nonlinear convectiondiffusion equation in 2D is discussed in the paper. We constructed quadratic UNO and ENO interpolations based on six mesh points in 2D. Com...The nonosillatory characteristic diffeence method for the nonlinear convectiondiffusion equation in 2D is discussed in the paper. We constructed quadratic UNO and ENO interpolations based on six mesh points in 2D. Combing them with characteristic difference method, we establish the high-resolution difference schemes for the nonlinear convection-dominated diffusion problem. Because theses schemes are nonlinear inherently, we use a new method to give the strict error analyses of these schemes, solving the difficulties resulted from the nonlinearity. The numerical computation is given in the paper for the model problem.展开更多
文摘把ENO插值和MMOCAA“(The modified method of characteristics with adjusted advection,Jim Douglas,Jr.,Numer.Math.(1999),Vol.83:353-369)”差分方法相结合,提出了求解对流扩散方程的ENO-MMOCAA差分方法,避免了原来基于高阶Langrange插值的MMOCAA差分方法在解的陡峭前缘附近产生的震荡。本文给出了格式的误差估计及数值算例。
文摘By combing the three-step modified method of characteristics and MMOCAA difference method with UNO interpolation, the three-step UNO-MMOCAA finite difference method is established for convection-dominated diffusion problems in this paper. The scheme is two-order accurate in space and time and is free from the oscillation near the steep front, with which the problem is solved by three-step MMOCAA finite difference method based on two-order Lagrange interplation. Using the new method, we give an estimate analysis of the scheme and a numerical example.
文摘The nonosillatory characteristic diffeence method for the nonlinear convectiondiffusion equation in 2D is discussed in the paper. We constructed quadratic UNO and ENO interpolations based on six mesh points in 2D. Combing them with characteristic difference method, we establish the high-resolution difference schemes for the nonlinear convection-dominated diffusion problem. Because theses schemes are nonlinear inherently, we use a new method to give the strict error analyses of these schemes, solving the difficulties resulted from the nonlinearity. The numerical computation is given in the paper for the model problem.
