scholarly journals An assessment of implicit-explicit time integrators for the pseudo-spectral approximation of Boussinesq thermal convection in an annulus

2022 ◽  
pp. 110965
Author(s):  
Venkatesh Gopinath ◽  
Alexandre Fournier ◽  
Thomas Gastine
Keyword(s):  
Thermal Convection ◽  
Spectral Approximation ◽  
Time Integrators ◽  
Pseudo Spectral

SOLVING AN INCOMPLETE DATA INVERSE PROBLEM BY A PSEUDO-SPECTRAL APPROXIMATION METHOD WITH A NON-STANDARD APPROACH

2019 ◽  
Vol 18 (2) ◽  
pp. 9-21
Author(s):  
Abani Maïdaoua Ali ◽  
Dia Bassirou ◽  
Diop Oulimata ◽  
Sembene Ama Diop Niang ◽  
Mampassi Benjamin
Keyword(s):  
Inverse Problem ◽  
Approximation Method ◽  
Incomplete Data ◽  
Standard Approach ◽  
Spectral Approximation ◽  
Pseudo Spectral

scholarly journals Numerical Investigation of Pull-In Instability in a Micro-Switch MEMS Device through the Pseudo-Spectral Method

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
P. Di Maida ◽  
G. Bianchi
Keyword(s):  
Spectral Method ◽  
Degrees Of Freedom ◽  
Electrostatic Force ◽  
Critical Threshold ◽  
Numerical Comparison ◽  
Spectral Approximation ◽  
Mems Device ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral ◽  
Acting Force

A pseudo-spectral approximation is presented to solve the problem of pull-in instability in a cantilever micro-switch. As well known, pull-in instability arises when the acting force reaches a critical threshold beyond which equilibrium is no longer possible. In particular, Coulomb electrostatic force is considered, although the method can be easily generalized to account for fringe as well as Casimir effects. A numerical comparison is presented between a pseudo-spectral and a Finite Element (FE) approximation of the problem, both methods employing the same number of degrees of freedom. It is shown that the pseudo-spectral method appears more effective in accurately approximating the behavior of the cantilever near its tip. This fact is crucial to capturing the threshold voltage on the verge of pull-in. Conversely, the FE approximation presents rapid successions of attracting/repulsing regions along the cantilever, which are not restricted to the near pull-in regime.

scholarly journals A comparison of high-order time integrators for thermal convection in rotating spherical shells

2010 ◽  
Vol 229 (20) ◽  
pp. 7997-8010 ◽  
Author(s):  
F. Garcia ◽  
M. Net ◽  
B. García-Archilla ◽  
J. Sánchez
Keyword(s):  
Thermal Convection ◽  
High Order ◽  
Spherical Shells ◽  
Time Integrators ◽  
High Order Time
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