A splitting scheme is used for numerical solution of hyperbolic systems with a stiff relaxation. High-order flux in the convection step guarantees a good spatial accuracy. The relaxation term is treated implicitly. Extrapolation is used to combine the steps, obtaining high accuracy in time. A third-order scheme both in space and in time is presented and applied to the Broadwell model of gas dynamics.
Extrapolation Methods for Hyperbolic Systems with relaxation
REDIVO ZAGLIA, MICHELA;
1996
Abstract
A splitting scheme is used for numerical solution of hyperbolic systems with a stiff relaxation. High-order flux in the convection step guarantees a good spatial accuracy. The relaxation term is treated implicitly. Extrapolation is used to combine the steps, obtaining high accuracy in time. A third-order scheme both in space and in time is presented and applied to the Broadwell model of gas dynamics.
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