A multidimensional magnetohydrodynamics code based on semidiscrete central WENO and PPM schemes

We present a multidimensional magnetohydrodynamics code based on semidiscrete central Godunov-type schemes and high order weighted essentially non-oscillatory data reconstruction and incorporate elements of the piecewise parabolic method into the reconstruction schemes. This algorithm avoids spectral decomposition into characteristic waves and is easily implemented. We have implemented this algorithm and carried out one and two dimensional tests, which verifies that this code can achieve the accuracy and efficiency to solve the astrophysical problems.