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DTSTART:20001029T020000
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UID:Baylor_CMS_Event-52476
DTSTAMP:20260609T041013Z
SUMMARY:CASPER Seminar: Maria Oliveira, Doctoral Candidate, UT Arlington: 
DESCRIPTION;ENCODING=QUOTED-PRINTABLE: Our new effort is to design a high order universal subroutine to accurately calculate flux derivatives for smooth or oscillatory functions. The primitive function reconstruction method is applied to obtain the conservative form which is important for shocks. Traditional accuracy check is performed for 1-D wave equation with periodic boundary conditions. However, difficulties are encountered at boundary points. Unfortunately, the traditional 3-4-6 order approach for near boundary points fails to give high order global accuracy. For example, the 3-4-6 approach only gives second order global accuracy for the sine function. =0D=0A=
In our current work, we define a high order scheme for boundary points in two ways: one-sided finite difference and ghost-point approaches in the frame of the reconstructed function. Three types of boundary conditions including Dirichlet, Neumann, and Mixed boundary which could represent inflow, outflow and far field boundary conditions are studied. The global 6th order accuracy is fully recovered. The subroutine has been tested for a number of functions and 6th order global accuracy has been obtained for smooth functions. Further work will include a universal high order subroutine for discontinuities (shocks) and for the shock boundary layer interaction with sharp reduction of computation cost.=0D=0A=
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LOCATION:BSB C.231
DTSTART;TZID=US_Central:20080912T140000
DTEND;TZID=US_Central:20080912T150000
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