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Volume 30, August
 
 

Math. Comput. Appl., Volume 30, Issue 5 (October 2025) – 1 article

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21 pages, 4275 KB  
Article
Application of the Kurganov–Tadmor Scheme in Curvilinear Coordinates for Supersonic Flow
by Sebastián Bertolo, Sergio Elaskar and Luis Gutiérrez Marcantoni
Math. Comput. Appl. 2025, 30(5), 92; https://doi.org/10.3390/mca30050092 - 23 Aug 2025
Viewed by 41
Abstract
In this current study, we developed a second-order Kurganov–Tadmor scheme in curvilinear coordinates to analyze the external supersonic flow over bodies of various shapes. This scheme is capable of handling interfaces across different regions of the domain. We utilized a fourth-order Runge–Kutta temporal [...] Read more.
In this current study, we developed a second-order Kurganov–Tadmor scheme in curvilinear coordinates to analyze the external supersonic flow over bodies of various shapes. This scheme is capable of handling interfaces across different regions of the domain. We utilized a fourth-order Runge–Kutta temporal integrator and conducted several test cases to validate the performance of the new scheme. The results from the analyzed tests indicate that the new method produces highly accurate outcomes. Full article
(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
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