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[02554] Domain-invariant subcell-based blending limiter for Lax-Wendroff Flux Reconstruction

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @D408
  • Type : Contributed Talk
  • Abstract : Lax-Wendroff flux reconstruction (LWFR) is a single-step, arbitrarily high order, quadrature free method for solving hyperbolic conservation laws. We propose a subcell-based blending scheme for LWFR. By using MUSCL-Hancock reconstruction on the subcells and Gauss-Legendre points in flux reconstruction, we improve small-scale resolution compared to the subcell-based RKDG scheme of Henneman et al. $($2020$)$. We also propose a cost-effective correction to obtain a provably domain-invariant Lax-Wendroff scheme. Efficient Julia implementation will be discussed.
  • Classification : 76M10, 76M12, 76-04, 35L65
  • Format : Talk at Waseda University
  • Author(s) :
    • Arpit Babbar (Tata Institute of Fundamental Research - Centre for Applicable Mathematics (Bangalore))
    • Praveen Chandrashekar (Tata Institute of Fundamental Research - Centre for Applicable Mathematics (Bangalore))
    • Sudarshan Kumar Kenettinkara (School of Mathematics, Indian Institute of Science Education and Research)