Low Mach preconditioned density-based methods with implicit Runge–Kutta schemes in physical-time

Author:

Alves Leonardo Santos de BritoORCID,Santos Ricardo Dias dos,Falcão Carlos Eduardo Guex

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação Carlos Chagas Filho de Amparo á Pesquisa do Estado do Rio de Janeiro

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,General Engineering,Aerospace Engineering,Automotive Engineering,Industrial and Manufacturing Engineering,Applied Mathematics

Reference76 articles.

1. Alexander R (1977) Diagonally implicit Runge-Kutta methods for stiff O.D.E. SIAM J Numer Anal 14(6):1006–1021

2. Alves LSB, Kelly RE, Karagozian AR (2008) Transverse jet shear layer instabilities. part ii: linear analysis for large jet-to-crossflow velocity ratios. J Fluid Mech 602:383–401

3. Alves LSB (2009) Review of numerical methods for the compressible flow equations at low mach numbers, In: XII Encontro de Modelagem Computacional, Rio de Janeiro, RJ, Brazil

4. Alves LSB (2010) Dual time stepping with multi-stage schemes in physical time for unsteady low mach number compressible flows, In: VII Escola de Primavera de Transição e Turbulência, ABCM, Ilha Solteira, São Paulo, Brasil

5. Teixeira RSD, Alves LSDB (2017) Minimal gain marching schemes: searching for unstable steady-states with unsteady solvers. Theo Comput Fluid Dyn 31(5–6):607–621

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