Special RAL/MMM Joint Seminar: Goal-orient, adaptive space-time discretizations for multi-scale phenomenon

*Special RAL/MMM Joint Seminar - Thursday, December 5, 2019 - 3:00pm

*Please note special time - 3:00pm

Speaker: Dr. David L. Darmofal

Affiliation: Department of Aeronautics & Astronautics, Massachusetts Institute of Technology

For phenomenon that exhibit a wide range of scales, adaptive methods can enable efficient yet accurate discretizations.  In this talk, we consider the use of space-time adaptive methods to solve time-dependent, multi-scale phenomenon in which the space-time domain is discretized using simplices (i.e. pentatopes for 3D+time) that are not required to have face aligned with the temporal direction.  The adaptive method utilizes an goal-oriented approach in which an adjoint solution and dual-weighted residual is employed to estimate the local contribution to the discretization error of a desired output.  The dependence of the error estimate on the mesh is then synthesized into a model using the Metric Optimization through Error Sampling and Synthesis (MOESS) algorithm, and the resulting error model is then optimized to produce adapted meshes with minimal error at a fixed computational cost. We demonstrate this approach for higher-order finite element discretizations applied to convection-dominated flows and porous media.  Also, similar to parallel-in-time strategies, we show that parallel solution of space-time adapted meshes are more scalable than time-marching approaches.  We conclude with a discussion of remaining challenges and opportunities for space-time adaptive methods.

Refreshments: 2:45pm

Building:

Room Number: 
FL2-1022 - Large Auditorium

Type of event:

Will this event be webcast to the public by NCAR|UCAR?: 
Announcement Timing: 
Tuesday, December 3, 2019 to Thursday, December 5, 2019
Calendar Timing: 
Thursday, December 5, 2019 - 3:00pm to 4:00pm

Posted by Nancy Sue Kerner at ext. 8946, nskerner@ucar.edu

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