An overview of projection methods for incompressible flows
A series of numerical issues related to the analysis and implementation of fractional step
methods for incompressible flows are addressed in this paper. These methods are often …
methods for incompressible flows are addressed in this paper. These methods are often …
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …
has attracted remarkable interest from the mathematical community because of its intrinsic …
Physics-informed PointNet: A deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries
We present a novel physics-informed deep learning framework for solving steady-state
incompressible flow on multiple sets of irregular geometries by incorporating two main …
incompressible flow on multiple sets of irregular geometries by incorporating two main …
[图书][B] Finite element methods for incompressible flow problems
V John - 2016 - Springer
Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …
applications. Their numerical simulation requires in particular a spatial discretization. Finite …
[图书][B] Spectral methods: algorithms, analysis and applications
Along with finite differences and finite elements, spectral methods are one of the three main
methodologies for solving partial differential equations on computers. This book provides a …
methodologies for solving partial differential equations on computers. This book provides a …
[图书][B] Scientific Computation
P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …
was still fairly novel. Motivated by the many favorable comments we have received and the …
[图书][B] Spectral and high-order methods with applications
T Tang - 2006 - math.purdue.edu
This book expands lecture notes by the authors for a course on Introduction of Spectral
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
A review of simplified numerical approaches for fast urban airflow simulation
X Xu, Z Gao, M Zhang - Building and Environment, 2023 - Elsevier
As the urban area under study continues to expand, the high computational cost of urban
wind and thermal environments simulation is becoming a major challenge for researchers …
wind and thermal environments simulation is becoming a major challenge for researchers …
On the error estimates for the rotational pressure-correction projection methods
J Guermond, J Shen - Mathematics of Computation, 2004 - ams.org
In this paper we study the rotational form of the pressure-correction method that was
proposed by Timmermans, Minev, and Van De Vosse. We show that the rotational form of …
proposed by Timmermans, Minev, and Van De Vosse. We show that the rotational form of …