A Well-Balanced Path-Integral f-Wave Method for Hyperbolic Problems with Source Terms

作者：LeVeque Randall J^*

来源：Journal of Scientific Computing, 2011, 48(1-3): 209-226.

DOI：10.1007/s10915-010-9411-0

• Hyperbolic partial differential equations
• Source terms
• Well-balanced methods

Systems of hyperbolic partial differential equations with source terms (balance laws) arise in many applications where it is important to compute accurate time-dependent solutions modeling small perturbations of equilibrium solutions in which the source terms balance the hyperbolic part. The f-wave version of the wave-propagation algorithm is one approach, but requires the use of a particular averaged value of the source terms at each cell interface in order to be "well balanced" and exactly maintain steady states. A general approach to choosing this average is developed using the theory of path conservative methods. A scalar advection equation with a decay or growth term is introduced as a model problem for numerical experiments.

• 出版日期2011-7