Outputs (17)
Isogeometric semi-Lagrangian analysis for transport problems (2022)
Journal Article
Efficient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-Break Flows (2022)
Book Chapter
Rowan, T., & Seaid, M. (2022). Efficient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-Break Flows. In Numerical Fluid Dynamics. https://doi.org/10.1007/978-981-16-9665-7_10
High-order methods for thermal behavior of plate structures with internal heat sources (2022)
Journal Article
A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems (2022)
Journal Article
We present a high-order Bernstein–Bézier finite element discretization to accurately solve three-dimensional advection-dominated problems on unstructured tetrahedral meshes. The key idea consists of implementing a modified method of characteristics t... Read More about A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems.
An iterative scheme for solving a coupled Darcy–convection–diffusion model (2022)
Journal Article
We present an iterative scheme for the numerical analysis of a class of coupled Darcy-convection-diffusion problems modelling flow and heat transfer in porous media. The governing equations consist of the Darcy equations for the flow coupled to a con... Read More about An iterative scheme for solving a coupled Darcy–convection–diffusion model.
Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems (2022)
Journal Article
A class of Bernstein-Bézier basis based high-order finite element methods is developed for the Galerkin-characteristics solution of convection-diffusion problems. The Galerkin-characteristics formulation is derived using a semi-Lagrangian discretizat... Read More about Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems.
Simplified finite element approximations for coupled natural convection and radiation heat transfer (2022)
Journal Article
This article focuses on the effect of radiative heat on natural convection heat transfer in a square domain inclined with an angle. The left vertical wall of the enclosure is heated while maintaining the vertical right wall at room temperature with b... Read More about Simplified finite element approximations for coupled natural convection and radiation heat transfer.
A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography (2022)
Journal Article
A well-balanced Runge-Kutta discontinuous Galerkin method is presented for the numerical solution of multilayer shallow water equations with mass exchange and non-flat bottom topography. The governing equations are reformulated as a nonlinear system... Read More about A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography.
A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations (2022)
Journal Article
A cell-centered finite volume semi-Lagrangian method is presented for the numerical solution of two-dimensional coupled Burgers’ problems on unstructured triangular meshes. The method combines a modified method of characteristics for the time integra... Read More about A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations.