1) weighted non-oscillatory and non-free-parameter dissipation difference(WNND) scheme
加权无波动无自由参数耗散差分格式
2) dissipation of difference scheme
差分格式的耗散
3) dissipative difference scheme
耗散差分格式
1.
Based on the dissipative difference schemes for one dimensional Hamilton-Jacobi(H-J) equations and the relations between two dimensional H-J equations and hyperbolic conservation laws,a class of difference schemes for two dimensional H-J equations is constructed.
将二维Hamilton-Jacobi方程转换成双曲型守恒律方程组,然后利用求解一维H-J方程的一类无波动无自由参数的耗散差分格式的思想,构造了一类求解二维H-J方程的差分格式。
4) compact finite-difference scheme
加权差分格式
1.
Based on compact differencing of fourth-order accuracy for second order derivatives, a simple weighted compact finite-difference scheme with truncation error O[(2θ-1)t,t2+x4] for solving one-dimensional parabolic partial differentlal equation is developed.
利用二阶徽商的四阶精度紧致差分逼近公式，给出解抛物型方程精度为O[1－20）t，t2＋x4]的一种新的加权差分格式，并通过Fourier方法讨论格式的稳定性。
2.
Based on compact differencing formula of fourth-order accuracy for second order derivatives,a simple weighted compact finite-difference scheme with truncation o[(1-2θ△t,△t2+△x4)] for solving one-dimensional hyperbolic partial differential equations is developed.
利用一阶微商的四阶精度紧致差分逼近公式,给出了解双曲方程精度为o[(1-2θ△t,△t2+△x4)]的一种新的加权差分格式,并通过Fourier方法讨论格式的稳定性,证明了当0≤θ≤1/2时,格式是无条件稳定的;当1/2≤θ≤1时,格式是不稳定的,最后通过数值试验说明了这种方法的有效性。
5) WENO scheme
加权基本无振荡格式
1.
Using time operator splitting technique and weighted essentially non-oscillatory(WENO) schemes to simulate detonation with detailed chemical reaction,a time operator splitting technique is employed to decouple hydra-dynamic transport and chemical reaction,and finite volume WENO scheme is constructed for the homogeneous Euler equations with complex equation of state.
用时间算子分裂法来分离普通流体流动和化学反应方程,采用有限体积加权基本无振荡格式构建了带有复杂状态方程的欧拉方程组;提出一种新的熵修正方法EF4,并结合Roe平均格式来解决激波的不稳定问题和间断问题。
2.
The time operator splitting technique is employed to decouple hydrodynamic transport and chemical reaction,and WENO scheme is constructed for the homogeneous Euler equations with complex state equations.
用时间算子分裂法来分离普通流体流动和化学反应方程,采用加权基本无振荡格式构建了带有复杂状态方程的欧拉方程组;提出一种新的熵修正方法,并结合Roe平均格式来解决激波的不稳定问题。
6) WENO(Weighted Essentially Non-Oscillatory) scheme
加权本质无振荡格式(WENO)
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