Accuracy of Finite Volume/Staggered Grid Distributed Lagrange Multiplier/Fictitious Domain simulations of particulate flows

2015 ◽  
Vol 115 ◽  
pp. 154-172 ◽  
Author(s):  
Anthony Wachs ◽  
Abdelkader Hammouti ◽  
Guillaume Vinay ◽  
Mona Rahmani
Keyword(s):  
Finite Volume ◽  
Lagrange Multiplier ◽  
Staggered Grid ◽  
Fictitious Domain ◽  
Particulate Flows

A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows

2000 ◽  
Vol 91 (2-3) ◽  
pp. 165-188 ◽  
Author(s):  
P. Singh ◽  
D.D. Joseph ◽  
T.I. Hesla ◽  
R. Glowinski ◽  
T.-W. Pan
Keyword(s):  
Lagrange Multiplier ◽  
Fictitious Domain ◽  
Particulate Flows ◽  
Fictitious Domain Method ◽  
Domain Method

Mapping thin resistors and hydrocarbons with marine EM methods, Part II — Modeling and analysis in 3D

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. G321-G332 ◽  
Author(s):  
Chester J. Weiss ◽  
Steven Constable
Keyword(s):  
Linear System ◽  
Finite Volume ◽  
Electric Fields ◽  
Dipole Antenna ◽  
Staggered Grid ◽  
System Of Equations ◽  
Double Precision ◽  
Disk Model ◽  
Linear System Of Equations ◽  
Computational Performance

The electromagnetic fields surrounding a thin, subseabed resistive disk in response to a deep-towed, time-harmonic electric dipole antenna are investigated using a newly developed 3D Cartesian, staggered-grid modeling algorithm. We demonstrate that finite-difference and finite-volume methods for solving the governing curl-curl equation yield identical, complex-symmetric coefficient matrices for the resulting [Formula: see text] linear system of equations. However, the finite-volume approach has an advantage in that it naturally admits quadrature integration methods for accurate representation of highly compact or exponentially varying source terms constituting the right side of the resulting linear system of equations. This linear system is solved using a coupled two-term recurrence, quasi-minimal residual algorithm that doesnot require explicit storage of the coefficient matrix, thus reducing storage costs from [Formula: see text] to [Formula: see text] complex, double-precision words with no decrease in computational performance. The disk model serves as a generalized representation of any number of resistive targets in the marine environment, including basaltic sills, carbonates, and stratigraphic hydrocarbon traps. We show that spatial variations in electromagnetic phase computed over the target are sensitive to the disk boundaries and depth, thus providing a useful complement to the usual amplitude-versus-offset analysis. Furthermore, we estimate through the calculation of Fréchet sensitivity kernels those regions of the 3D model which have the greatest effect on seafloor electric fields for a given source/receiver configuration. The results show that conductivity variations within the resistive disk have a stronger influence on the observed signal than do variations in the surrounding sediment conductivity at depth.

Sign in / Sign up

Export Citation Format

Share Document