An overview of high-order implicit algorithms for first-/second-order systems and novel explicit algorithm designs for first-order system representations
In this paper, we are interested in high-order algorithms for time discretization and focus
upon the high-order implicit/explicit algorithm designs. Five high-order unconditionally …
upon the high-order implicit/explicit algorithm designs. Five high-order unconditionally …
An accurate and simple universal a posteriori error estimator for GS4-1 framework: Adaptive time stepping in first-order transient systems
Abstract The “Generalized Single Step Single Solve” framework for first-order transient
systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a …
systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a …
Numerical investigations on model order reduction to SEM based on POD-DEIM to linear/nonlinear heat transfer problems
The motivation in this article is to foster and conduct an in-depth investigation on reduced-
order modeling (ROM) techniques via proper orthogonal decomposition (POD) and discrete …
order modeling (ROM) techniques via proper orthogonal decomposition (POD) and discrete …
Design/analysis of GEGS4-1 time integration framework with improved stability and solution accuracy for first-order transient systems
In this work, the fundamental design procedure, termed as Algorithms by Design, is
exploited to establish novel explicit algorithms under the umbrella of linear multi-step (LMS) …
exploited to establish novel explicit algorithms under the umbrella of linear multi-step (LMS) …
Generalized Petrov-Galerkin time finite element weighted residual methodology for designing high-order unconditionally stable algorithms with controllable numerical …
In this paper, a novel stabilized time-weighted residual methodology under the umbrella of
Petrov-Galerkin time finite element formulation is developed to design a generalized …
Petrov-Galerkin time finite element formulation is developed to design a generalized …
Spectral time-dependent solutions for Darcy model of natural convection in a porous enclosure
A Fahs, A Zakeri, A Wanko - Numerical Heat Transfer, Part B …, 2019 - Taylor & Francis
According to his high accuracy in the simply connected domains, the Galerkin spectral
method having Fourier series as trial functions is chosen to develop a space-time dependent …
method having Fourier series as trial functions is chosen to develop a space-time dependent …
Multicellular convection flow in a cylindrical enclosure partitioned by a plate
Y Wang, W Zhang - Numerical Heat Transfer, Part A: Applications, 2019 - Taylor & Francis
This work performed a numerical investigation on the laminar natural convection in a
cylindrical enclosure with a thin flat plate that is concentrically placed within the enclosure …
cylindrical enclosure with a thin flat plate that is concentrically placed within the enclosure …