Numerical Investigations of the Time Evolution Problem with a High Precision Adaptive Mesh Refinement Code
نویسنده
چکیده
Numerical evolution of the spherically symmetric, massive KleinGordon field is presented using a new adaptive mesh refinement (AMR) code with fourth order discretization in space and time, along with compactification in space. By numerical investigations of the violation of the energy balance relations, the space-time boundaries of “well-behaving” regions are determined for different values of the AMR parameters. An important result is that mesh refinement maintains the precision in the central region for longer time even if the mesh is only refined outside of this region. The speed of the algorithm was also tested, two orders of magnitude improvement was reached in case of 10 refinement levels.
منابع مشابه
Testing a New Mesh Refinement Code in the Evolution of a Spherically Symmetric Klein-gordon Field
Numerical evolution of the spherically symmetric, massive KleinGordon field is presented using a new adaptive mesh refinement (AMR) code with fourth order discretization in space and time, along with compactification in space. The system is non-interacting thus the initial disturbance is entirely radiated away. The main aim is to simulate its propagation until it vanishes near I . By numerical ...
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