A Multiple-Block Multigrid Method for the Solution of the Three-Dimensional Euler and Navier-Stokes Equations

Download or read book A Multiple-Block Multigrid Method for the Solution of the Three-Dimensional Euler and Navier-Stokes Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multiple block multigrid method for the solution of the three dimensional Euler and Navier-Stokes equations is presented. The basic flow solver is a cell vertex method which employs central difference spatial approximations and Runge-Kutta time stepping. The use of local time stepping, implicit residual smoothing, multigrid techniques and variable coefficient numerical dissipation results in an efficient and robust scheme is discussed. The multiblock strategy places the block loop within the Runge-Kutta Loop such that accuracy and convergence are not affected by block boundaries. This has been verified by comparing the results of one and two block calculations in which the two block grid is generated by splitting the one block grid. Results are presented for both Euler and Navier-Stokes computations of wing/fuselage combinations. Atkins, Harold Langley Research Center ...