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Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation

Francisco A, Biccari U, Zuazua Iriondo E (2024)

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Publication Language: English

Publication Status: Submitted

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2024

URI: https://arxiv.org/abs/2210.03798

Open Access Link: https://arxiv.org/abs/2210.03798

Abstract

Inverse design of transport equations can be addressed by using a gradient-adjoint methodology. In this methodology numerical schemes used for the adjoint resolution determine the direction of descent in its iterative algorithm, and consequently the CPU time consumed by the inverse design. As the CPU time constitutes a known bottleneck, it is important to employ light and quick schemes to the adjoint problem. In this regard, we proposed to use the Modified Method of Characteristics (MMOC). Despite not preserving identity conservation, the MMOC is computationally competitive. In this work we investigated the advantage of using the MMOC in comparison with the Lax-Friedrichs and Lax-Wendro? schemes for the inverse design problem. By testing the Doswell frontogenesis equation, we observed that the MMOC can provide more efficient and accurate computation under some simulation conditions.

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How to cite

APA:

Francisco, A., Biccari, U., & Zuazua Iriondo, E. (2024). Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation. (Unpublished, Submitted).

MLA:

Francisco, Alexandre, Umberto Biccari, and Enrique Zuazua Iriondo. Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation. Unpublished, Submitted. 2024.

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