scholarly journals Mortar Element Method for Flow Problems in Primitive Variables Form

1998 ◽  
Vol 9 (3-4) ◽  
pp. 209-219
Author(s):  
S. FUJIMA
Keyword(s):  
Flow Problems ◽  
Mortar Element ◽  
Mortar Element Method ◽  
Element Method ◽  
Primitive Variables

scholarly journals Mixed Mortar Element Method forP1NC/P0Element and Its Multigrid Method for the Incompressible Stokes Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-18
Author(s):  
Yaqin Jiang ◽  
Jinru Chen
Keyword(s):  
Multigrid Method ◽  
Stokes Problem ◽  
Mesh Size ◽  
Optimal Error Estimate ◽  
Discrete Problem ◽  
Mixed Mortar ◽  
Mortar Element ◽  
Mortar Element Method ◽  
Theoretical Results ◽  
Element Method

We discuss a mortar-typeP1NC/P0element method for the incompressible Stokes problem. We prove the inf-sup condition and obtain the optimal error estimate. Meanwhile, we propose a𝒲-cycle multigrid for solving this discrete problem and prove the optimal convergence of the multigrid method, that is, the convergence rate is independent of the mesh size and mesh level. Finally, numerical experiments are presented to confirm our theoretical results.

scholarly journals Unsteady Flow Calculation in a Cross-Flow Fan Using a Finite Element Method

1996 ◽  
Author(s):  
P. F. Bert ◽  
M. Pessiani ◽  
J. F. Combes ◽  
J. L. Kueny
Keyword(s):  
Finite Element ◽  
Unsteady Flow ◽  
Cross Flow ◽  
Doppler Velocity ◽  
Start Up ◽  
Large Vortex ◽  
Mortar Element ◽  
Cross Flow Fan ◽  
Mortar Element Method ◽  
Element Method

In order to predict rotor-stator interactions in hydraulic turbomachinery, a new multidomain method was implemented in a turbulent flow finite element code. The formulation is based on the mortar element method, extended to sliding meshes. It allows the coupling between several domains using nonconforming discretization on the interface. This method was used to study the unsteady flow in a cross-flow fan. Such fans are widely used in air-conditioning devices. They consist of a cylindrical rotor with forward curved blades, rotating in a housing. The air passes the blades twice at the inlet and the outlet of the impeller while a large vortex is noticeable inside the impeller which is located in the blading near the stabilizer. The numerical results are compared to Laser Doppler Velocity measurements and to steady calculations obtained by replacing the blades by a rotating force field. The unsteady calculation shows the formation of the vortex structure at the start-up and the periodic established flow after a few revolutions of the impeller.

Basics and some applications of the mortar element method

2005 ◽  
Vol 28 (2) ◽  
pp. 97-123 ◽  
Author(s):  
Christine Bernardi ◽  
Yvon Maday ◽  
Francesca Rapetti
Keyword(s):  
Mortar Element ◽  
Mortar Element Method ◽  
Element Method

Using hierarchic interpolation with mortar element method for electrical machines analysis

2005 ◽  
Vol 41 (5) ◽  
pp. 1472-1475 ◽  
Author(s):  
O.J. Antunes ◽  
J.P.A. Bastos ◽  
N. Sadowski ◽  
A. Razek ◽  
L. Santandrea ◽  
...  
Keyword(s):  
Electrical Machines ◽  
Mortar Element ◽  
Mortar Element Method ◽  
Element Method

Parallel 3D Mortar Element Method for Adaptive Nonconforming Meshes

2005 ◽  
Vol 27 (1-3) ◽  
pp. 231-243 ◽  
Author(s):  
Huiyu Feng ◽  
Catherine Mavriplis ◽  
Rob Van der Feng ◽  
Rupak Biswas
Keyword(s):  
Mortar Element ◽  
Nonconforming Meshes ◽  
Mortar Element Method ◽  
Element Method

Coupling between scalar and vector potentials by the mortar element method

2002 ◽  
Vol 334 (10) ◽  
pp. 933-938 ◽  
Author(s):  
Yvon Maday ◽  
Francesca Rapetti ◽  
Barbara I Wohlmuth
Keyword(s):  
Vector Potentials ◽  
Mortar Element ◽  
Mortar Element Method ◽  
Element Method
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