Eikonal equation on the unstructured grids using quadratic interpolation

2012 ◽  
Author(s):  
Anton Zaicenco
Keyword(s):  
Eikonal Equation ◽  
Unstructured Grids ◽  
Quadratic Interpolation

scholarly journals Big ray‐tracing and eikonal solver on unstructured grids: Application to the computation of a multivalued traveltime field in the Marmousi model

Geophysics ◽  
1999 ◽  
Vol 64 (1) ◽  
pp. 230-239 ◽  
Author(s):  
Rémi Abgrall ◽  
Jean‐David Benamou
Keyword(s):  
Phase Space ◽  
Point Source ◽  
Numerical Computation ◽  
Ray Tracing ◽  
Eikonal Equation ◽  
Unstructured Grids ◽  
Unstructured Meshes ◽  
Interpolation Process ◽  
Local Solutions

This paper presents a numerical computation of the multivalued traveltime field generated by a point‐source experiment in the Marmousi model. Two methods are combined to achieve this goal: a method called big ray tracing, used to compute multivalued traveltime fields, and an eikonal solver, designed to work on unstructured meshes. Big ray tracing is based on a combination of ray tracing and local solutions of the eikonal equation. Classical ray tracing first discretizes the phase space and defines local zones that possibly overlap where the traveltime field is multivalued. Then an eikonal solver computes traveltimes in these zones called big rays. It acts as an exact interpolation process between rays associated with different branches of the traveltime field. The geometry of big rays may be complicated and is better discretized using unstructured meshes. An eikonal solver designed to work on unstructured meshes is used.

PARALLEL SOLVER FOR THE SIMULATIONS OF DETONATION WAVES ON UNSTRUCTURED GRIDS

2020 ◽  
Author(s):  
A. I. Lopato ◽  
◽  
A. G. Eremenko ◽  
Keyword(s):  
Chemical Kinetics ◽  
Numerical Scheme ◽  
Unstructured Grids ◽  
Numerical Study ◽  
Numerical Approach ◽  
Detonation Waves ◽  
Detailed Chemical Kinetics ◽  
Parallel Solver ◽  
Further Development ◽  
Detailed Chemical

Recently, we developed a numerical approach for the simulation of detonation waves on fully unstructured grids and applied it to the numerical study of the mechanisms of detonation initiation in multifocusing systems. Current work is devoted to further development of our numerical approach, namely, parallelization of the numerical scheme and introduction of more comprehensive detailed chemical kinetics scheme.

Infrastructure to Support Massively Computing With Adaptive Unstructured Grids

1998 ◽  
Author(s):  
Kenneth E. Jansen ◽  
Mark S. Shephard ◽  
Joseph E. Flaherty
Keyword(s):  
Unstructured Grids

Wave and Circulation Prediction on Unstructured Grids

2007 ◽  
Author(s):  
Joannes J. Westerink ◽  
Clint Dawson ◽  
Rick A. Luettich
Keyword(s):  
Unstructured Grids
Sign in / Sign up

Export Citation Format

Share Document