4 papers
Semi-discrete Active Flux method for two-dimensional hyperbolic systems with Coriolis source terms
Nikhil Manoj, Wasilij Barsukow, Christian Klingenberg
We investigate the semi-discrete Active Flux numerical method on Cartesian grids applied to two-dimensional linear and nonlinear shallow water equations with Coriolis source terms.…
A MUSCL-Hancock scheme for non-local conservation laws
Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K
In this article, we propose a MUSCL-Hancock-type second-order scheme for the discretization of a general class of non-local conservation laws and present its convergence analysis.…
A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws
Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K
Non-local systems of conservation laws play a crucial role in modeling flow mechanisms across various scenarios. The well-posedness of such problems is typically established by dem…
Analysis of a central MUSCL-type scheme for conservation laws with discontinuous flux
Nikhil Manoj, Sudarshan Kumar K
In this article, we propose a second-order central scheme of the Nessyahu-Tadmor-type for a class of scalar conservation laws with discontinuous flux and present its convergence an…