Fully coupled finite volume solutions of the incompressible Navier–Stokes and energy equations using an inexact Newton method
Fully coupled finite volume solutions of the incompressible Navier–Stokes and energy equations using an inexact Newton method
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使用不精确牛顿法的不可压缩纳维-斯托克斯和能量方程的完全耦合有限体积解
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发表时间：
1994
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通讯作者：
D. Knoll
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作者：
P. McHugh;D. Knoll
采用非精确牛顿方法求解定常、不可压的N-S方程和能量方程。有限体积差分采用Patankar的幂定律格式在交错网格上进行。以封闭空腔内的自然对流为模型问题进行研究。采用两种基于Lanczos双正交化过程的类共轭梯度算法来求解每次牛顿迭代所产生的线性方程组。第一个类共轭梯度算法是无转置准最小残差算法(TFQMR)，第二个是共轭梯度平方算法(CGS)。雅可比矩阵的不完全上-下(ILU)分解被用作右预条件
An inexact Newton method is used to solve the steady, incompressible Navier-Stokes and energy equations. Finite volume differencing is employed on a staggered grid using the power law scheme of Patankar. Natural convection in an enclosed cavity is studied as the model problem. Two conjugate-gradient-like algorithms based upon the Lanczos biorthogonalization procedure are used to solve the linear systems arising on each Newton iteration. The first conjugate-gradient-like algorithm is the transpose-free quasi-minimal residual algorithm (TFQMR) and the second is the conjugate gradients squared algorithm (CGS). Incomplete lower-upper (ILU) factorization of the Jacobian matrix is used as a right preconditioner