[图书][B] Advanced reduced order methods and applications in computational fluid dynamics

G Rozza, G Stabile, F Ballarin - 2022 - SIAM
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …

Modelling of surface and inner wall temperatures in the analysis of courtyard thermal performances in Mediterranean climates

VP López-Cabeza, FJ Carmona-Molero… - Journal of Building …, 2021 - Taylor & Francis
Courtyards are an effective passive strategy for improving the energy performance of
buildings. However, there is a lack of accurate simulation tools for their thermal performance …

A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem

A Allendes, GR Barrenechea, C Naranjo - Computer Methods in Applied …, 2018 - Elsevier
In this work we propose and analyze a new stabilized finite element method for the coupled
Navier–Stokes/temperature (or Boussinesq) equations. The method is built using low order …

[HTML][HTML] Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height

F Ballarin, TC Rebollo, ED Avila, MG Mármol… - … & Mathematics with …, 2020 - Elsevier
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to
natural convection problems in a variable height cavity, in which the buoyancy forces are …

A Parallel Finite Element Discretization Scheme for the Natural Convection Equations

Y Shang - Journal of Scientific Computing, 2024 - Springer
This article presents a parallel finite element discretization scheme for solving numerically
the steady natural convection equations, where a fully overlapping domain decomposition …

[PDF][PDF] A mixed virtual element method for the Boussinesq problem on polygonal meshes

GN Gatica, M Munar, FA Sequeira - J. Comput. Math, 2021 - doc.global-sci.org
In this work we introduce and analyze a mixed virtual element method (mixed-VEM) for the
two-dimensional stationary Boussinesq problem. The continuous formulation is based on …

A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem

R Oyarzúa, M Serón - Journal of Scientific Computing, 2020 - Springer
In this work we propose and analyze a new fully divergence-conforming finite element
method for the numerical simulation of the Boussinesq problem, describing the motion of a …

Optimal Error Analysis of Linearized Crank-Nicolson Finite Element Scheme for the Time-Dependent Penetrative Convection Problem

M Cao, Y Li - Communications on Applied Mathematics and …, 2023 - Springer
This paper focuses on the optimal error analysis of a linearized Crank-Nicolson finite
element scheme for the time-dependent penetrative convection problem, where the mini …

Efficient and scalable discretization of the Navier–Stokes equations with LPS modeling

R Haferssas, P Jolivet, S Rubino - Computer Methods in Applied Mechanics …, 2018 - Elsevier
In this work, we address the solution of the Navier–Stokes equations (NSE) by a Finite
Element (FE) Local Projection Stabilization (LPS) method. The focus is on a LPS method …

New error analysis of a second order BDF scheme for unsteady natural convection problem

Q Liu, D Shi - Applied Numerical Mathematics, 2020 - Elsevier
In this paper, superconvergence analysis of a mixed finite element method (MFEM) is
proposed for the unsteady natural convection problem. The system is discretized by the Q …