A triangle-based positive semi-discrete Lagrangian–Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation …
In this paper, we show how to construct a positive semi-discrete Lagrangian–Eulerian
scheme on triangular grids that asymptotically satisfies multidimensional scalar hyperbolic …
scheme on triangular grids that asymptotically satisfies multidimensional scalar hyperbolic …
Riemann problem solutions for a balance law under Dirac-Delta source with a discontinuous flux
We study the Riemann problem for a new model on immiscible vertical two-phase flow
under point injection. The point injection is modeled by a Dirac δ-source term as well as by a …
under point injection. The point injection is modeled by a Dirac δ-source term as well as by a …
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis
Non-equilibrium models are applicable in various physical situations, including phase
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …
A numerical scheme for doubly nonlocal conservation laws
E Abreu, JC Valencia-Guevara, M Huacasi-Machaca… - Calcolo, 2024 - Springer
In this work, we consider the nonlinear dynamics and computational aspects for non-
negative solutions of one-dimensional doubly nonlocal fractional conservation laws∂ tu+∂ …
negative solutions of one-dimensional doubly nonlocal fractional conservation laws∂ tu+∂ …
Uma construção tridimensional e implementação paralela FORTRAN-MPI de um método Lagrangiano-Euleriano totalmente discreto para leis de conservação …
E Abreu, P Godoi - Proceeding Series of the …, 2025 - proceedings.sbmac.emnuvens.com …
Neste trabalho é apresentado um método Lagrangiano Euleriano para leis de conservação
hiperbólica para domínios espaciais de três dimensões, baseado no conceito das no-flow …
hiperbólica para domínios espaciais de três dimensões, baseado no conceito das no-flow …