# Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier-Stokes Equations

@article{Yang1998ImplicitWE, title={Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier-Stokes Equations}, author={Jaw-Yen Yang and Shih-Chang Yang and Yih-Nan Chen and Chiang-An Hsu}, journal={Journal of Computational Physics}, year={1998}, volume={146}, pages={464-487} }

A class of lower?upper approximate-factorization implicit weighted essentially nonoscillatory (ENO) schemes for solving the three-dimensional incompressible Navier?Stokes equations in a generalized coordinate system is presented. The algorithm is based on the artificial compressibility formulation, and symmetric Gauss?Seidel relaxation is used for computing steady-state solutions. Weighted essentially nonoscillatory spatial operators are employed for inviscid fluxes and fourth-order central…

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