Skip to main content

Event Details

  • Tuesday, May 23, 2017
  • 15:45 - 16:15

Recent Progress in Space-Time Conservation Element and Solution Element Method

Space-time conservation element and solution element (CE/SE) method is a unique finite-volume-type method for solving hyperbolic conservation laws. This approach has several attractive properties, including: (i) unified treatment of the space and time derivatives such that only one step is required for high-accuracy time marching; (ii) a compact stencil regardless of the order of the accuracy; (iii) easiness of extension to any arbitrary shape of polygonal elements; and (iv) straightforward and efficient implementation of non-reflective boundary condition. Since its inception, the CE/SE method has been successfully used in the computation of compressible flows. This presentation will introduce some recent progress in this method, including: (i) upwind CE/SE schemes and (ii) bound-preserving CE/SE schemes. Applications to hypersonic flows, detonation of gaseous mixtures, and multi-fluids flows will also be discussed.