Search
Results
-
ENO reconstruction and ENO interpolation are stable
(2011)SAM Research ReportWe prove stability estimates for the ENO reconstruction and ENO interpolation procedures. In particular, we show that the jump of the reconstructed ENO pointvalues at each cell interface has the same sign as the jump of the underlying cell averages across that interface. We also prove that the jump of the reconstructed values can be upper-bounded in terms of the jump of the underlying cell averages. Similar sign properties hold for the ...Report -
Arbitrarily high order accurate entropy stable essentially non-oscillatory schemes for systems of conservation laws
(2011)SAM Research ReportWe design arbitrarily high-order accurate entropy stable schemes for systems of conservation laws. The schemes, termed TeCNO schemes, are based on two main ingredients: (i) high-order accurate entropy conservative uxes, and (ii) suitable numerical di usion operators involving ENO reconstructed cell-interface values of scaled entropy variables. Numerical experiments in one and two space dimensions are presented to illustrate the robust ...Report