On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem

2006 ◽  
Vol 195 (9-12) ◽  
pp. 1027-1049 ◽  
Author(s):  
D.Rh. Gwynllyw ◽  
T.N. Phillips
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Approximation ◽  
Pressure Condition ◽  
Mean Pressure

scholarly journals A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes

2016 ◽  
Vol 139 ◽  
pp. 148-160 ◽  
Author(s):  
David A. Kopriva ◽  
Andrew R. Winters ◽  
Marvin Bohm ◽  
Gregor J. Gassner
Keyword(s):  
Discontinuous Galerkin ◽  
Spectral Element ◽  
Element Approximation ◽  
Hexahedral Meshes

scholarly journals Mortar spectral element discretization of the stokes problem in axisymmetric domains

2013 ◽  
Vol 30 (1) ◽  
pp. 44-73 ◽  
Author(s):  
Saloua Mani Aouadi ◽  
Christine Bernardi ◽  
Jamil Satouri
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretization

SPECTRAL ELEMENT METHOD FOR ACOUSTIC PROPAGATION PROBLEMS BASED ON LINEARIZED EULER EQUATIONS

2009 ◽  
Vol 17 (04) ◽  
pp. 383-402 ◽  
Author(s):  
RONGXIN ZHANG ◽  
GUOLIANG QIN ◽  
CHANGYUN ZHU
Keyword(s):  
Euler Equations ◽  
Sound Propagation ◽  
Spectral Element ◽  
Acoustic Propagation ◽  
Absorbing Boundary Conditions ◽  
Element Approximation ◽  
Newmark Method ◽  
Mean Flow ◽  
Linearized Euler Equations ◽  
Accuracy And Stability

A Chebyshev spectral element approximation of acoustic propagation problems based on linearized Euler equations is introduced, and the numerical approach is based on spectral elements in space with first-order Clayton–Engquist–Majda absorbing boundary conditions and implicit Newmark method in time. An initial perturbation problem has been solved to test the accuracy and stability of the numerical method. Then the sound propagation by source terms is also studied, including the radiation of a monopole and dipolar source in both stationary medium and uniform mean flow. The numerical simulation leads to good results in both accuracy and stability. Compared with the analytical solutions, the numerical results show the advantages in spectral accuracy even with relatively fewer grid points. Moreover, the implicit Newmark method in time marching also presents its superiority in stability. Finally, a problem of sound propagation in pipes is simulated as well.

Sign in / Sign up

Export Citation Format

Share Document