2022
DOI: 10.48550/arxiv.2201.00002
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Time-Dependent Duhamel Renormalization method with Multiple Conservation and Dissipation Laws

Sathyanarayanan Chandramouli,
Aseel Farhat,
Ziad Musslimani

Abstract: The time dependent spectral renormalization (TDSR) method was introduced by Cole and Musslimani as a novel way to numerically solve initial boundary value problems. An important and novel aspect of the TDSR scheme is its ability to incorporate physics in the form of conservation laws or dissipation rate equations. However, the method was limited to include a single conserved or dissipative quantity.The present work significantly extends the computational features of the method with the (i) incorporation of mul… Show more

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