Identification and Reconstruction of Body Forces in a Stokes System Using Shear Waves

2020 ◽  
pp. 103-120
Author(s):  
Nuno F. M. Martins
Keyword(s):  
Stokes System ◽  
Shear Waves ◽  
Body Forces

Delta function model for the helium trimer: origin of three-body forces

2001 ◽  
Vol 99 (1) ◽  
pp. 53-56 ◽  
Author(s):  
S. M. Blinder, Lawrence L. Lohr
Keyword(s):  
Delta Function ◽  
Function Model ◽  
Helium Trimer ◽  
Body Forces ◽  
Three Body

Large eddy simulation in complex geometric configurations using boundary body forces

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 427-433 ◽  
Author(s):  
Roberto Verzicco ◽  
Jamaludin Mohd-Yusof ◽  
Paolo Orlandi ◽  
Daniel Haworth
Keyword(s):  
Large Eddy Simulation ◽  
Eddy Simulation ◽  
Geometric Configurations ◽  
Body Forces ◽  
Large Eddy

Extension of f and g series to non-two-body forces

1964 ◽  
Author(s):  
R. BAKER, JR.
Keyword(s):  
Body Forces

scholarly journals Some preliminary observations on a defect Navier–Stokes system

2019 ◽  
Vol 347 (10) ◽  
pp. 677-684 ◽  
Author(s):  
Amit Acharya ◽  
Roger Fosdick
Keyword(s):  
Stokes System ◽  
Navier Stokes

scholarly journals Lorentz force induced shear waves for magnetic resonance elastography applications

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Guillaume Flé ◽  
Guillaume Gilbert ◽  
Pol Grasland-Mongrain ◽  
Guy Cloutier
Keyword(s):  
Magnetic Resonance ◽  
Shear Wave ◽  
Lorentz Force ◽  
Wave Attenuation ◽  
Shear Waves ◽  
Estimation Method ◽  
Biological Tissues ◽  
Magnetic Resonance Elastography ◽  
Motion Generation ◽  
Wave Source

AbstractQuantitative mechanical properties of biological tissues can be mapped using the shear wave elastography technique. This technology has demonstrated a great potential in various organs but shows a limit due to wave attenuation in biological tissues. An option to overcome the inherent loss in shear wave magnitude along the propagation pathway may be to stimulate tissues closer to regions of interest using alternative motion generation techniques. The present study investigated the feasibility of generating shear waves by applying a Lorentz force directly to tissue mimicking samples for magnetic resonance elastography applications. This was done by combining an electrical current with the strong magnetic field of a clinical MRI scanner. The Local Frequency Estimation method was used to assess the real value of the shear modulus of tested phantoms from Lorentz force induced motion. Finite elements modeling of reported experiments showed a consistent behavior but featured wavelengths larger than measured ones. Results suggest the feasibility of a magnetic resonance elastography technique based on the Lorentz force to produce an shear wave source.

Error analysis of higher order trace finite element methods for the surface Stokes equation

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Thomas Jankuhn ◽  
Maxim A. Olshanskii ◽  
Arnold Reusken ◽  
Alexander Zhiliakov
Keyword(s):  
Finite Element ◽  
Stokes System ◽  
Parametric Representation ◽  
Higher Order ◽  
Optimal Order ◽  
Helmholtz Instability ◽  
Surface Stability ◽  
Instability Problem ◽  
Convergence Results ◽  
Optimal Order Convergence

AbstractThe paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in ℝ3. The method employs parametric Pk-Pk−1 finite element pairs on tetrahedral bulk mesh to discretize the Stokes system on embedded surface. Stability and optimal order convergence results are proved. The proofs include a complete quantification of geometric errors stemming from approximate parametric representation of the surface. Numerical experiments include formal convergence studies and an example of the Kelvin--Helmholtz instability problem on the unit sphere.

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