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43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit
The CESE development is driven by a belief that a solver should (i) enforce conservation laws in both space and time, and (ii) be built from a non-dissipative (i.e., neutrally stable) core scheme so that the numerical dissipation can be controlled effectively. To provide a solid foundation for a systematic CESE development of high order schemes, in this paper we describe a new high order (4-5th order) and neutrally stable CESE solver of the advection equation ∂u/∂t + a∂u/ ∂x = 0. The space-timedoi:10.2514/6.2007-5820 fatcat:plyyqemggnbmrpmfwo7erq64fy