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8 papers · 2 filters
An Analysis of the Numerical Stability of the Immersed Boundary Method
Mengjian Hua, Charles S. Peskin
We present a numerical stability analysis of the immersed boundary(IB) method for a special case which is constructed so that Fourier analysis is applicable. We examine the stabili…
A Weighted State Redistribution Algorithm for Embedded Boundary Grids
Andrew Giuliani, Ann S. Almgren, John B. Bell +3
State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state r…
A low-rank solution method for Riccati equations with indefinite quadratic terms
Peter Benner, Jan Heiland, Steffen W. R. Werner
Algebraic Riccati equations with indefinite quadratic terms play an important role in applications related to robust controller design. While there are many established approaches…
Structured vector fitting framework for mechanical systems
Steffen W. R. Werner, Ion Victor Gosea, Serkan Gugercin
In this paper, we develop a structure-preserving formulation of the data-driven vector fitting algorithm for the case of modally damped mechanical systems. Using the structured pol…
A fast Chebyshev method for the Bingham closure with application to active nematic suspensions
Scott Weady, Michael J. Shelley, David B. Stein
Continuum kinetic theories provide an important tool for the analysis and simulation of particle suspensions. When those particles are anisotropic, the addition of a particle orien…
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids
Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
In magnetic confinement fusion devices, the equilibrium configuration of a plasma is determined by the balance between the hydrostatic pressure in the fluid and the magnetic forces…