Construction of difference discretizations in solving the adjoint problem for the passive admixture transport equation
UDC
519.63DOI:
https://doi.org/10.31429/vestnik-20-3-74-79Abstract
Based on the projection variant of the integro-interpolation method, a conservative monotone difference scheme for integrating the passive impurity transfer equation is presented. By summing the difference analogue of the integral identity in parts, a difference discretization consistent with the main transfer-diffusion problem for solving conjugate problems is obtained. It is shown that the proposed schemes and algorithms used in the procedures for integrating the main task can be used in the implementation of adjoint tasks.
Keywords:
difference discretization, monotone scheme, conjugate problem, variational assimilationAcknowledgement
The work was carried out within the framework of the state task on the topic FNNN-2021-0005 "Complex interdisciplinary studies of oceanological processes that determine the functioning and evolution of ecosystems of the coastal zones of the Black and Azov Seas" (code "Coastal research").
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Submitted
2023-08-22
Published
2023-09-29
How to Cite
Kochergin V.S., Kochergin S.V.
Construction of difference discretizations in solving the adjoint problem for the passive admixture transport equation.
Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation,
2023,
vol. 20,
no. 3,
pp. 74-79.
DOI: https://doi.org/10.31429/vestnik-20-3-74-79
(In Russian)
Copyright (c) 2023 Kochergin V.S., Kochergin S.V.
This work is licensed under a Creative Commons Attribution 4.0 International License.
