Design of IMEXRK time integration schemes via Delaunay-based derivative-free optimization with nonconvex constraints and grid-based acceleration

DOI10.1007/s10898-019-00855-1zbMath1466.90074OpenAlexW2999629083WikidataQ126320522 ScholiaQ126320522MaRDI QIDQ2022320

Daniele Cavaglieri, Pooriya Beyhaghi, Ryan Alimo, Thomas R. Bewley

Publication date: 28 April 2021

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-019-00855-1

zbMATH Keywords

computational fluid dynamicsnonconvex constraintsderivative-free global optimizationIMEXRK time marching schemes

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56)

Related Items (2)

SMGO-\(\Delta\): balancing caution and reward in global optimization with black-box constraints ⋮ On maximum enstrophy dissipation in 2D Navier-Stokes flows in the limit of vanishing viscosity

Uses Software

• Matlab

Cites Work

• Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods
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• Delaunay-based derivative-free optimization via global surrogates. II: Convex constraints
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• Delaunay-based derivative-free optimization via global surrogates. III: nonconvex constraints
• Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
• An improvement of fractional step methods for the incompressible Navier- Stokes equations
• Application of a fractional-step method to incompressible Navier-Stokes equations
• A family of embedded Runge-Kutta formulae
• Implementation of Cartesian grids to accelerate Delaunay-based derivative-free optimization
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Inertia-Controlling Methods for General Quadratic Programming
• Turbulence statistics in fully developed channel flow at low Reynolds number
• Mesh Adaptive Direct Search Algorithms for Constrained Optimization
• Numerical Methods for Ordinary Differential Equations
• Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations

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