Adjoint-based error control for the simulation and optimization of gas and water supply networks

P Domschke, O Kolb, J Lang - Applied Mathematics and Computation, 2015 - Elsevier
In this work, the simulation and optimization of transport processes through gas and water
supply networks is considered. Those networks mainly consist of pipes as well as other …

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems

G Albi, M Herty, L Pareschi - Applied Mathematics and Computation, 2019 - Elsevier
We are interested in high-order linear multistep schemes for time discretization of adjoint
equations arising within optimal control problems. First we consider optimal control …

A low-storage adjoint lattice Boltzmann method for the control of incompressible flows

S Yong, W Zhao - Physics of Fluids, 2022 - pubs.aip.org
In this paper, we present a low-storage adjoint lattice Boltzmann method (LSALBM) for the
control of unsteady incompressible flows. The core of the method is to adopt a velocity …

[PDF][PDF] Grid architecture at the gas-electric interface

AV Zlotnik, AM Rudkevich, R Carter… - Los Alamos Natl …, 2017 - gridarchitecture.pnnl.gov
Significant changes have affected US natural gas markets in the last several years.
Environmental regulations and price pressures from newly available natural gas supplies …

New optimality conditions for nonsmooth control problems

VA de Oliveira, GN Silva - Journal of Global Optimization, 2013 - Springer
This work considers nonsmooth optimal control problems and provides two new sufficient
conditions of optimality. The first condition involves the Lagrange multipliers while the …

Airfoil design optimization based on lattice Boltzmann method and adjoint approach

X Li, L Fang, Y Peng - Applied mathematics and mechanics, 2018 - Springer
We present a new aerodynamic design method based on the lattice Boltzmann method
(LBM) and the adjoint approach. The flow field and the adjoint equation are numerically …

A comparison of the continuous and discrete adjoint approach extended based on the standard lattice Boltzmann method in flow field inverse optimization problems

MH Hekmat, M Mirzaei - Acta Mechanica, 2016 - Springer
The objective of this research is the numerical implementation and comparison between the
performance of the continuous and discrete adjoint Lattice Boltzmann (LB) methods in …

Numerical methods for control of second order hyperbolic equations

A Kröner - 2011 - mediatum.ub.tum.de
This thesis is devoted to the numerical treatment of optimal control problems governed by
second order hyperbolic partial differential equations. Adaptive finite element methods for …

Extraction of macroscopic and microscopic adjoint concepts using a lattice Boltzmann method and discrete adjoint approach

MH Hekmat, M Mirzaei - Physical Review E, 2015 - APS
In the present research, we tried to improve the performance of the lattice Boltzmann (LB)-
based adjoint approach by utilizing the mesoscopic inherent of the LB method. In this …

Relaxation and asymptotic expansion of controlled stiff differential equations

M Herty, H Kouhkouh - International Journal of Control, 2024 - Taylor & Francis
The control of relaxation-type systems of ordinary differential equations is investigated using
the Hamilton–Jacobi–Bellman equation. Firstly, we recast the model as a singularly …