An efficient parallel computation of unsteady incompressible viscous flow with elastic moving and compliant boundaries on unstructured grids

2005 ◽  
Vol 64 (15) ◽  
pp. 2072-2104 ◽  
Author(s):  
C. H. Tai ◽  
B. Bals ◽  
Y. Zhao ◽  
K. M. Liew
Keyword(s):  
Viscous Flow ◽  
Parallel Computation ◽  
Unstructured Grids ◽  
Incompressible Viscous Flow

Numerical methods for incompressible viscous flow

2002 ◽  
Vol 25 (8-12) ◽  
pp. 1125-1146 ◽  
Author(s):  
Hans Petter Langtangen ◽  
Kent-Andre Mardal ◽  
Ragnar Winther
Keyword(s):  
Numerical Methods ◽  
Viscous Flow ◽  
Incompressible Viscous Flow

scholarly journals Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems

2019 ◽  
Vol 344 ◽  
pp. 421-450 ◽  
Author(s):  
Tuong Hoang ◽  
Clemens V. Verhoosel ◽  
Chao-Zhong Qin ◽  
Ferdinando Auricchio ◽  
Alessandro Reali ◽  
...  
Keyword(s):  
Viscous Flow ◽  
Flow Problems ◽  
Incompressible Viscous Flow

Nonstaggered APPLE Algorithm for Incompressible Viscous Flow in Curvilinear Coordinates

2002 ◽  
Vol 124 (5) ◽  
pp. 812-819 ◽  
Author(s):  
S. L. Lee ◽  
Y. F. Chen
Keyword(s):  
Viscous Flow ◽  
Present Method ◽  
Heat Conduction Equation ◽  
Continuity Equation ◽  
Interpolation Method ◽  
Curvilinear Coordinates ◽  
Grid System ◽  
Weighted Interpolation ◽  
Incompressible Viscous Flow ◽  
Curvilinear Grid

The NAPPLE algorithm for incompressible viscous flow on Cartesian grid system is extended to nonorthogonal curvilinear grid system in this paper. A pressure-linked equation is obtained by substituting the discretized momentum equations into the discretized continuity equation. Instead of employing a velocity interpolation such as pressure-weighted interpolation method (PWIM), a particular approximation is adopted to circumvent the checkerboard error such that the solution does not depend on the under-relaxation factor. This is a distinctive feature of the present method. Furthermore, the pressure is directly solved from the pressure-linked equation without recourse to a pressure-correction equation. In the use of the NAPPLE algorithm, solving the pressure-linked equation is as simple as solving a heat conduction equation. Through two well-documented examples, performance of the NAPPLE algorithm is validated for both buoyancy-driven and pressure-driven flows.

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