논문KCI 등재
A second order upwind method for linear hyperbolic systems
대한수학회 (The Korean Mathematical Society)|2002.01|대한수학회논문집 (Communications of the KMS)|제17권 제1호|pp. 103-120
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Abstract
A second order upwind method for linear hyperbolic systems is studiedin this paper. The method approximates solutions as piecewiselinear functions, and state variables and slopes of the linear functionsfor next time step are computed separately. We present a new method forthe computation of slopes, derived from an upwinding difference for a derivative.For nonoscillatory solutions, a monotonicity algorithm is also proposedby modifying an existing algorithm. To validate our second order upwindmethod, numerical results for linear advection equations and linear systemsfor elastic and acoustic waves are given.
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