2-D linearised Euler equation
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Contents |
Problem Definition
where M is the mach number , speed of sound is assumed to be 1, all the variabled refer to acoustic perturbations over the mean flow.
Domain
[-50,50]*[-50,50]
Initial Condition
Boundary Condition
Characteristic Boundary Condition
Numerical Method
4th Order Compact scheme in space 4th order low storage RK in time
Results
Pressure
- No mean flow
- Mean Flow to left at U=0.5 (c assumed to be 1 m/s)
Reference
- Williamson, Williamson (1980), "Low Storage Runge-Kutta Schemes", Journal of Computational Physics, Vol.35, pp.48–56.
- Lele, Lele, S. K. (1992), "Compact Finite Difference Schemes with Spectral-like Resolution,” Journal of Computational Physics", Journal of Computational Physics, Vol. 103, pp 16–42.