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DTSTART;TZID=America/New_York:20230120T140000
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DTSTAMP:20260405T013529
CREATED:20230110T235859Z
LAST-MODIFIED:20230110T235859Z
UID:8158-1674223200-1674226800@seasevents.nmsdev7.com
SUMMARY:PICS/MEAM Seminar: "A Low Rank Tensor Approach for Nonlinear Vlasov Simulations"
DESCRIPTION:In this work\, we present a low-rank tensor approach for approximating solutions to the nonlinear Vlasov equation. Our method takes advantage of the tensor-friendly nature of the differential operators in the Vlasov equation to dynamically and adaptively construct a low-rank solution basis through the discretization of the equation and an SVD-type truncation procedure. We utilize finite difference WENO and discontinuous Galerkin spatial discretizations\, along with a second-order strong stability preserving multi-step time discretization. To preserve conservation properties\, we develop low-rank schemes with local mass\, momentum\, and energy conservation for the corresponding macroscopic equations. The mass and momentum are conserved using a conservative SVD truncation\, while the energy is conserved by replacing the energy component of the kinetic solution with one obtained from a conservative scheme for the macroscopic energy equation. We employ hierarchical Tucker decomposition for high-dimensional problems\, and demonstrate the high-order convergence\, efficiency\, and local conservation properties of our algorithm through a series of linear and nonlinear Vlasov examples.
URL:https://seasevents.nmsdev7.com/event/pics-meam-seminar-a-low-rank-tensor-approach-for-nonlinear-vlasov-simulations/
LOCATION:PICS Conference Room 534 – A Wing \, 5th Floor\, 3401 Walnut Street\, Philadelphia\, PA\, 19104\, United States
CATEGORIES:Seminar,Colloquium
ORGANIZER;CN="Mechanical Engineering and Applied Mechanics":MAILTO:meam@seas.upenn.edu
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