Graduate Research and Discovery Symposium (GRADS)
Title
Numerical study of a regularization model for incompressible flow with deconvolution-based adaptive nonlinear filtering
Advisor
Leo Rebholz
Document Type
Poster
Department
Mathematical Sciences
Publication Date
Spring 2013
Abstract
We study a trapezoidal-in-time, finite-element-in-space discretization of a new Leray regularization model that locally chooses the filtering radius using a deconvolution based indicator function to identify regions where regularization is needed. Because this indicator function is mathematically based, it allows us to establish a rigorous analysis of the resulting numerical algorithm. We prove well-posedness, unconditional stability, and convergence of the proposed algorithm, and test the model on several benchmark problems.
Recommended Citation
Bowers, Abigail and Rebholz, Leo, "Numerical study of a regularization model for incompressible flow with deconvolution-based adaptive nonlinear filtering " (2013). Graduate Research and Discovery Symposium (GRADS). 77.
https://tigerprints.clemson.edu/grads_symposium/77