Kriegers Flak Combined Grid Solution - novel double use of offshore equipment

2019 ◽  
Author(s):  
A.-K. Marten ◽  
V. Akhmatov ◽  
R. Stornowski
Keyword(s):  
Grid Solution

scholarly journals Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes

2018 ◽  
Vol 11 (5) ◽  
pp. 1785-1797 ◽  
Author(s):  
Celal S. Konor ◽  
David A. Randall
Keyword(s):  
Normal Mode ◽  
Rossby Waves ◽  
Numerical Solutions ◽  
Normal Mode Analysis ◽  
Companion Paper ◽  
Mode Analysis ◽  
Dynamical Equations ◽  
Grid Solution ◽  
Horizontal Grid ◽  
Vertical Grids

Abstract. We use a normal-mode analysis to investigate the impacts of the horizontal and vertical discretizations on the numerical solutions of the quasi-geostrophic anelastic baroclinic and barotropic Rossby modes on a midlatitude β plane. The dispersion equations are derived for the linearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and B horizontal grids, and on the L and CP vertical grids. The effects of various horizontal grid spacings and vertical wavenumbers are discussed. A companion paper, Part 1, discusses the impacts of the discretization on the inertia–gravity modes on a midlatitude f plane. The results of our normal-mode analyses for the Rossby waves overall support the conclusions of the previous studies obtained with the shallow-water equations. We identify an area of disagreement with the E-grid solution.

A Simplified Parallel Two-Level Iterative Method for Simulation of Incompressible Navier-Stokes Equations

2015 ◽  
Vol 7 (6) ◽  
pp. 715-735
Author(s):  
Yueqiang Shang ◽  
Jin Qin
Keyword(s):  
Stokes Equations ◽  
Stokes Problem ◽  
Coarse Grid ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Step Flow ◽  
Grid Solution ◽  
Oseen Problem ◽  
Parallel Iterative

AbstractBased on two-grid discretization, a simplified parallel iterative finite element method for the simulation of incompressible Navier-Stokes equations is developed and analyzed. The method is based on a fixed point iteration for the equations on a coarse grid, where a Stokes problem is solved at each iteration. Then, on overlapped local fine grids, corrections are calculated in parallel by solving an Oseen problem in which the fixed convection is given by the coarse grid solution. Error bounds of the approximate solution are derived. Numerical results on examples of known analytical solutions, lid-driven cavity flow and backward-facing step flow are also given to demonstrate the effectiveness of the method.

Multi-Grid Solution of Bifurcation Problems

1985 ◽  
Vol 6 (1) ◽  
pp. 49-60 ◽  
Author(s):  
H. D. Mittelmann ◽  
H. Weber
Keyword(s):  
Grid Solution ◽  
Bifurcation Problems
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