Numerical methods for the compressible Navier-Stokes equations using an explicit time-marching technique (Comparison between the four stage Runge-Kutta and two stage Rational Runge-Kutta schemes)
نویسندگان
چکیده
منابع مشابه
2-stage explicit total variation diminishing preserving Runge-Kutta methods
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of order two (RK2) when applied to the numerical solution of special nonlinear initial value problems (IVPs) for (ODEs). Schemes preserving the essential physical property of diminishing total variation are of great importance in practice. Such schemes are free of spurious o...
متن کاملLow-storage, Explicit Runge-kutta Schemes for the Compressible Navier-stokes Equations
The derivation of low-storage, explicit Runge-Kutta (ERK) schemes has been performed in the context of integrating the compressible Navier-Stokes equations via direct numerical simulation. Optimization of ERK methods is done across the broad range of properties, such as stability and accuracy e ciency, linear and nonlinear stability, error control reliability, step change stability, and dissipa...
متن کاملSegregated Runge-Kutta methods for the incompressible Navier-Stokes equations
In this work, we propose Runge-Kutta time integration schemes for the incompressible Navier-Stokes equations with two salient properties. First, velocity and pressure computations are segregated at the time integration level, without the need to perform additional fractional step techniques that spoil high orders of accuracy. Second, the proposed methods keep the same order of accuracy for both...
متن کاملSemi - Implicit Runge - Kutta Schemes Forthe Navier - Stokes Equations
The stationary Navier-Stokes equations are solved in 2D with semi-implicit Runge-Kutta schemes, where explicit time-integration in the streamwise direction is combined with implicit integration in the body-normal direction. For model problems stability restrictions and convergence properties are studied. Numerical experiments for the ow over a at plate show that the number of iterations for the...
متن کامل2-stage explicit total variation diminishing preserving runge-kutta methods
in this paper, we investigate the total variation diminishing property for a class of 2-stage explicit rung-kutta methods of order two (rk2) when applied to the numerical solution of special nonlinear initial value problems (ivps) for (odes). schemes preserving the essential physical property of diminishing total variation are of great importance in practice. such schemes are free of spurious o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
سال: 1986
ISSN: 0387-5016,1884-8346
DOI: 10.1299/kikaib.52.3874