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[CT145]

Session Date & Time : 5D (Aug.25, 15:30-17:10)
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
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)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : In this work we develop a novel shock capturing procedure based on adaptive reformation of finite volume sub-cells for higher order discontinuous Galerkin method. For this we developed a sub-cell shock indicator based on Harten’s strategy to provide enhanced shock detection using just the degrees of freedom in respective mesh element. We apply this new procedure in the current state-of-the-art entropy stable discontinuous Galerkin method and demonstrate some numerical results for 1D compressible Euler equations.
Classification : 76M10, 76M12, 76-10, 35L65
Author(s) :
- Kedar Shridhar Wagh (Indian Institute of Science)
- S. V. Raghurama Rao (Indian Institute of Science)
- Sashikumaar Ganesan (Indian Institute of Science)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : We formulate a weakly compressible two-layer shallow water flows in channels with arbitrary cross sections which is a non-conservative systems. Using the method of generalised Rankine-Hugoniot conditions we derive the Riemann invariats for shock and contact wave. Furthermore, a high-resolution, non-oscillatory semi-discrete central-upwind scheme is presented. The scheme extends existing central-upwind semi-discrete numerical methods for hyperbolic balance laws. We validate the exact solution with the numerical approach.
Classification : 76M12, 35L65, 76T99
Author(s) :
- Sarswati Shah (Universidad Nacional Autónoma de México)
- Gerardo Hernandez-Duenas (Universidad Nacional Autónoma de México)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : In this talk we will present a boundary integral method suitable for the solution of creeping flow boundary value problems where the boundary presents singularities in the stresses. We use the method to solve the problem of the planar extrusion of a Newtonian fluid at zero Reynolds number and, in particular, to determine the shape of the free surface in the immediate neighbourhood of the separation point for a range of capillary numbers.
Classification : 76M15, 76D05, 76D07, Free-surface fluid flows, singularities
Author(s) :
- Loïc Gobet (University of Montreal)
- Robert Gwyn Owens (University of Montreal)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : We present Stokes flow past staggered circular cylinders in microchannel with an alternating slip and no-slip on the channel walls. We utilize Boundary Element Method (BEM) to numerically solve Stokes equation. In order to gain a deep insight of flow mechanics, we investigate the streamlines, velocity profiles, and pressure drops with varying slip-length, radius of the cylinder, and spacing between the cylinder. The findings of this study might be helpful for mixing enhancement in microchannel.
Classification : 76M15, 35Q30, 76B15, 65N38, 76M10
Author(s) :
- Chandra Shekhar Nishad (Pandit Deendayal Energy University Gandhinagar )