TY - JOUR
T1 - Numerical Optimal Pollution Control Subject to the Convection-Diffusion Transport Equations
AU - Yujing Yuan & Dong Liang
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 437
EP - 455
PY - 2017
DA - 2017/06
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10016.html
KW - Optimal pollution control, convection-diffusion equation, emission reduction cost, improved-upwind FV method, splitting.
AB - <p style="text-align: justify;">In this paper, we develop an optimal control approach of pollution and emission
reduction subject to convection-diffusion transport equations. A linked simulation-optimization
method has been proposed, based on solving the convection-diffusion transport equations and
solving the optimization procedure. The governing equations of the convection-diffusion-reaction
equations with pollution sources are discretized by the splitting improved upwind finite volume
scheme while the constrained differential evolution (DE) algorithm is applied to solve the global
optimization procedure. The advantage of the approach is the external linking of the numerical
simulation and the optimization procedure, minimizing both the weighted deviation between
simulated concentrations and the smallest allowable concentrations at observation sites and the
emission reduction cost at the pollution sources at same time. Numerical tests first check the
convergence of numerical methods. Numerical experiments then show the performance of the approach
for solving the optimal control problems of pollution and cost of emission reduction. The
developed optimal control approach is efficient and it can be applied to more complex problems
in applications.</p>