High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws
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Date
Authors
Yohana, Elimboto M.
Banda, M.K. (Mapundi)
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
Abstract
A computational investigation of optimal control problems which are constrained by hyperbolic
systems of conservation laws is presented. The general framework is to employ the adjoint-based optimization
to minimize the cost functional of matching-type between the optimal and the target solution. Extension
of the numerical schemes to second-order accuracy for systems for the forward and backward problem are
applied. In addition a comparative study of two relaxation approaches as solvers for hyperbolic systems is
undertaken. In particular optimal control of the 1-D Riemann problem of Euler equations of gas dynamics
is studied. The initial values are used as control parameters. The numerical ow obtained by optimal initial
conditions matches accurately with observations.
Description
Keywords
Conservation laws, Relaxation schemes, Adjoint method, Optimal control, Euler equations, Discrete velocity kinetic systems
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Citation
Yohana, EM & Banda, MK 2016, 'High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws', Journal of Numerical Mathematics, vol. 24, no. 1, pp. 45-71.