A low-dispersion and low-dissipation implicit Runge-Kutta scheme
A fourth-order, implicit, low-dispersion, and low-dissipation Runge-Kutta scheme is introduced. The scheme is optimized for minimal dissipation and dispersion errors. High order accuracy is achieved with fewer stages than standard explicit Runge-Kutta schemes. The scheme is designed to be A-stable for highly stiff problems. Possible applications include wall-bounded flows with solid boundaries in the computational domain, and sound generation by reacting flows. (C) 2012 Elsevier Inc. All rights reserved.
runge-kutta time integration aeroacoustics wave propagation implicit scheme