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Published February 11, 2023 | Accepted Version
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A Nonstiff Additive Semi-Implicit Runge-Kutta Scheme for Finite-Rate Reacting Flows

Pantano, C. ORCID icon

Abstract

A nonstiff additive semi-implicit third-order Runge-Kutta scheme suitable for integration of convection-diffusion-reaction equations with few diffusion dominated species is presented in this article. This scheme permits larger time steps than those required by explicit schemes and uses only one implicit stage and two explicit stages. The stability domain is analyzed and tests are carried out for a one-dimensional convection-diffusion equation and a two-dimensional multi-species reacting jet.

Additional Information

This work was supported in part by the ASC program of the Department of Energy under subcontract no. B341492 of DOE contract W-7405-ENG-48. The author is grateful to Prof. D. I. Pullin for reading and suggesting improvements on an earlier version of this manuscript.

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Additional details

Created:
August 19, 2023
Modified:
January 15, 2024