Outputs (13)
A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds (2020)
Journal Article
Purpose The purpose of this study is twofold: first, to derive a consistent model free-surface runup flow problems over deformable beds. The authors couple the nonlinear one-dimensional shallow water equations, including friction terms for the water... Read More about A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds.
Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data (2020)
Journal Article
We propose an efficient inverse solver for identifying the diffusion coefficient based on few random measurements which can be contaminated with noise. We focus mainly on problems involving solutions with steep heat gradients common with sudden chang... Read More about Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data.
A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem (2020)
Journal Article
This work presents a boundary element method formulation for the solution of the anomalous diffusion problem. By keeping the fractional time derivative as it appears in the governing differential equation of the problem, and by employing a Weighted R... Read More about A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem.
A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids (2020)
Journal Article
A conservative semi-Lagrangian finite volume method is presented for the numerical solution of convection–diffusion problems on unstructured grids. The new method consists of combining the modified method of characteristics with a cell-centered finit... Read More about A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids.
Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions (2020)
Journal Article
Heat radiation in optically thick non-grey media can be well approximated with the Rosseland model which is a class of nonlinear diffusion equations with convective boundary conditions. The optical spectrum is divided into a set of finite bands with... Read More about Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions.
Two-dimensional numerical modelling of shallow water flows over multilayer movable beds (2020)
Journal Article
The two-dimensional modelling of shallow water flows over multi-sediment erodible beds is presented. A novel approach is developed for the treatment of multiple sediment types in morphodynamics. The governing equations include the two-dimensional sha... Read More about Two-dimensional numerical modelling of shallow water flows over multilayer movable beds.
A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes (2020)
Journal Article
Slope limiters have been widely used to eliminate nonphysical oscillations near discontinuities generated by finite volume methods for hyperbolic systems of conservation laws. In this study, we investigate the performance of these limiters as applied... Read More about A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes.
Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement (2020)
Journal Article
We propose a high-order enriched partition of unity finite element method for linear and nonlinear time-dependent diffusion problems. The solution of this class of problems often exhibits non-smooth features such as steep gradients and boundary layer... Read More about Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement.
The Boundary Element Method applied to the solution of the Diffusion-Wave problem (2020)
Journal Article
A Boundary Element Method formulation is developed for the solution of the two-dimensional diffusion-wave problem, which is governed by a partial differential equation presenting a time fractional derivative of order α, with 1.0 < α < 2.0. In the pro... Read More about The Boundary Element Method applied to the solution of the Diffusion-Wave problem.
A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials (2020)
Journal Article
Nonlinear transient heat transfer in functionally graded materials is being studied more popular in present. In preliminary design, this problem can be simplified as a composite, and a three-dimensional transient heat transfer analysis is used to adj... Read More about A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials.
Inverse algorithm for real-time road roughness estimation for autonomous vehicles (2020)
Journal Article