- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- A stabilized fast multipole method for fluid flow
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
A stabilized fast multipole method for fluid flow Askham, Travis
Description
When discretizing the Navier-Stokes equations with an IMEX scheme in time, the modified Stokes equation must be solved to advance the solution from one time step to the next. The Green's function for the modified Stokes equation is given in terms of the difference of the Green's functions for the Laplace and modified Helmholtz equations. Unfortunately, it is unstable, particularly on fine grids or at low Reynolds number, to evaluate the Green's function by first evaluating the Laplace and modified Helmholtz Green's functions and then taking the difference. As an alternative, we present a fast multipole method for the modified Stokes kernel itself, which leverages new special functions to stably evaluate the interactions.
Item Metadata
Title |
A stabilized fast multipole method for fluid flow
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2017-10-05T11:05
|
Description |
When discretizing the Navier-Stokes equations with an IMEX scheme in time, the modified Stokes equation must be solved to advance the solution from one time step to the next. The Green's function for the modified Stokes equation is given in terms of the difference of the Green's functions for the Laplace and modified Helmholtz equations. Unfortunately, it is unstable, particularly on fine grids or at low Reynolds number, to evaluate the Green's function by first evaluating the Laplace and modified Helmholtz Green's functions and then taking the difference. As an alternative, we present a fast multipole method for the modified Stokes kernel itself, which leverages new special functions to stably evaluate the interactions.
|
Extent |
28 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Washington
|
Series | |
Date Available |
2018-04-14
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0365614
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Postdoctoral
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International