Abstract
This chapter discusses the results of using high-order compact schemes with a high-order filter on multiblock domains. The linearized euler equations (LEE) is solved on a uniform mesh for problems in one and two dimensions. Three different schemes for the solution of a two-dimensional problem with filters are compared. The results compare well with theory and single-block domain results. The effect of the number of points of overlap is also investigated. C6E6E6 scheme is the most accurate and gives sixth-order accuracy with low Courant-Friedrichs-Lewy (CFL) numbers. The order of accuracy reduces when large CFL numbers are used for the test problems. High-order compact schemes with high-order filters are used in direct numerical simulations (DNS) and large eddy simulations (LES).
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