Total-variation-diminishing time discretizations
SIAM Journal on Scientific and Statistical Computing
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Simplified discretization of systems of hyperbolic conservation laws containing advection equations
Journal of Computational Physics
Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling
Journal of Scientific Computing
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Journal of Computational Physics
Positive Scheme Numerical Simulation of High Mach Number Astrophysical Jets
Journal of Scientific Computing
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
Journal of Computational Physics
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Computational fluid dynamics simulations using the WENO method and level set method are applied to high Mach number nonrelativistic astrophysical jets, including the effects of radiative cooling. WENO methods introduced in Liu et al. (J. Comput. Phys., 115:200---212, 1994) have allowed us to simulate HH 1-2 astrophysical jets at Mach number much higher than Mach 80 (Ha et al. in J. Sci. Comput. 24:29---44, 2005). Simulations at high Mach numbers and with radiative cooling are essential for achieving detailed agreement with the astrophysical images. Simulations of interaction between astrophysical jet and environment using level set methods are considered in this paper.