May 29-30, 2019
The problem of numerical solution of complicated, coupled systems of evolution equations arises in nearly every application of scientific and technological importance and has spurred the development of much of modern numerical analysis. This has proven to be an area where appetite for better algorithms and greater computational resources expands to match both. Current practice often involves using either splitting methods or different time discretizations for different terms representing different physical effects, considered herein. The resulting implicit-explicit (IMEX) combinations of methods are beyond the powerful theory of linear multistep methods and must be analyzed method by method until a systematic theory develops. These combinations lead to new computational artifacts for which novel time filters and stabilizations have developed. The workshop aims to promote the direct interaction between experts from different communities, link rigorous numerical analysis and analysis of PDEs with current problems of impact.Organizers
William Layton and Catalin TrencheaTentative guest Speakers
- Paul D. Williams, Royal Society University Research Fellow
Department of Meteorology, University of Reading
Time filters in weather and climate models - Adrian T. Hill, University of Bath, Mathematical Sciences
Digital filters for the leap-frog method - Victor DeCaria (University of Pittsburgh)
Time filters yield variable stepsize, variable order algorithms - Peter Minev (University of Alberta)
High-order artificial compressibility for the incompressible Navier-Stokes equations - Roger Lewandowski (Université de Rennes 1)
On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions of the Navier-Stokes Equations - Thomas Bewley (University of California San Diego)
New low-storage IMEXRK schemes for the numerical simulation of high-dimensional stiff ODEs derived from diffusive PDE systems - Michael McLaughlin (University of Pittsburgh)
Time Adaptive Artificial Compression Methods - Traian Iliescu (Virginia Tech)
Data-Driven Correction for Reduced Order Modeling of Nonlinear Systems - Alessandro Colombo (Università degli studi di Bergamo)
On the development of an efficient order-adaptive discontinuous Galerkin method for the simulation of chaotic flows - Michael Schneier (University of Pittsburgh)
A Pod Based Artificial Compression Scheme for the Incompressible Navier-Stokes Equations - Nan Jiang (Missouri University of Science and Technology)
An ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations - Anyastassia Seboldt (University of Notre Dame)
A non-iterative domain decomposition method for the interaction between a fluid and a thick, hyperelastic structure - Robert Dolan (University of Connecticut)
Flux Partitioning and Reconstruction Methods for Atmosphere-Ocean Interaction
Location
The location of the conference will be the Frick Fine Arts Building, in the Frick Fine Arts Auditorium. The schedule is given below.View the event poster here.
Schedule |
||
|---|---|---|
| Wednesday, May 29 | ||
| 8:45-9:00am | Coffee | |
| 9:00-9:10am | Welcome | |
| 9:10-10:10am | Paul D. Williams
Time filters in weather and climate models |
|
| 10:10-10:30am | Coffee | |
| 10:30-11:30am | Adrian T. Hill Digital filters for the leap-frog method |
|
| 11:30-12:00 | Victor DeCaria Time filters yield variable stepsize, variable order algorithms |
|
| 12:00pm-2:00pm | Lunch | |
| 2:00-3:00pm | Peter Minev High-order artificial compressibility for the incompressible Navier-Stokes equations |
|
| 3:00-3:30pm | Coffee | |
| 3:30-4:00pm | Michael McLaughlin Time Adaptive Artificial Compression Methods |
|
| 4:00-5:00pm | Thomas Bewley New low-storage IMEXRK schemes for the numerical simulation of high-dimensional stiff ODEs derived from diffusive PDE systems |
|
| Thursday, May 30 | |
|---|---|
| 9:00-9:10am | Coffee |
| 9:10-10:10am | Traian Iliescu Data-Driven Correction for Reduced Order Modeling of Nonlinear Systems |
| 10:10-10:30am | Coffee |
| 10:30am-11:15pm | Alessandro Colombo On the development of an efficient order-adaptive discontinuous Galerkin method for the simulation of chaotic flows |
| 11:15-12:00am | Nan Jiang An ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations |
| 12:00pm-2:00pm | Lunch |
| 2:00-3:00pm | Roger Lewandowski On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions of the Navier-Stokes Equations |
| 3:00-3:30pm | Coffee |
| 3:30-4:00pm | Anyastassia Seboldt A non-iterative domain decomposition method for the interaction between a fluid and a thick, hyperelastic structure |
| 4:00-4:30pm | Robert Dolan Flux Partitioning and Reconstruction Methods for Atmosphere-Ocean Interaction |
| 4:30-5:00pm | Michael Schneier A POD Based Artificial Compression Scheme for the Incompressible Navier-Stokes Equations |
Local Information and Accommodations
Map
A map of various landmarks on campus can be found here.
Hotels
For hotel reservations, please contact Erika Carpio by email or by phone at 412-624-8361.Directions
The Pittsburgh International Airport (PIT) is 20.5 miles away from the University of Pittsburgh (25-45 minutes driving time depending on the time of day). There are several options to get to campus from the airport.- Yellow Cab (412-321-8100). The average taxi fare from the airport to campus is approximately $45.
- Express Shuttle Service (1-800-991-9890). A shuttle service between the airport and the downtown Pittsburgh and Oakland areas. The fare is $25 one way and $43 round trip.
- SuperShuttle (1-800-258-3826). Another shuttle service that serves the airport and the Oakland/Downtown area.
- Public Bus Transportation
with Port Authority Transit 28X Airport Flyer. The trip cost is $3.75 one way and
exact change is required. The bus runs every 30 minutes from the airport at gate #6,
and the duration of the trip is typically 50 minutes.
See the flyer
for more details.
Parking
If you need to park on campus, you might want to park at the following garages:- Soldiers and Sailors (SO): The rates are 0-1 hour $4; 1-2 hours $5; 2-4 hours $7; 4-6 hours $8; 6-8 hours $10; 8-10 hours $12; Over 10 hours $14.
- O'Hara (OH) : The rates are 0-1 hour $4; 1-2 hours $5; 2-4 hours $8; 4-6 hours $9; 6-8 hours $10; 8-10 hours $14; Over 10 hours $17.
- All garages are listed on this map.