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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 …
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 …
[کتاب][B] Cardiovascular Mathematics: Modeling and simulation of the circulatory system
L Formaggia, A Quarteroni, A Veneziani - 2010 - books.google.com
Cardiovascular diseases have a major impact in Western countries. Mathematical models
and numerical simulations can aid the understanding of physiological and pathological …
and numerical simulations can aid the understanding of physiological and pathological …
Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods
Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …
scalable platform for the development of solvers for partial differential equations using the …
A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
We present a robust and accurate outflow boundary condition and an associated numerical
algorithm for incompressible flow simulations on unbounded physical domains, aiming at …
algorithm for incompressible flow simulations on unbounded physical domains, aiming at …
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
We construct new first-and second-order pressure correctionschemes using the scalar
auxiliary variable approach for the Navier-Stokes equations. These schemes are linear …
auxiliary variable approach for the Navier-Stokes equations. These schemes are linear …
On the error estimates for the rotational pressure-correction projection methods
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 …
Formulation of a Galerkin spectral element–Fourier method for three-dimensional incompressible flows in cylindrical geometries
A primitive-variable formulation for simulation of time-dependent incompressible flows in
cylindrical coordinates is developed. Spectral elements are used to discretise the meridional …
cylindrical coordinates is developed. Spectral elements are used to discretise the meridional …
A time-step** scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios
We present an efficient time-step** scheme for simulations of the coupled Navier–Stokes
Cahn–Hilliard equations for the phase field approach. The scheme has several attractive …
Cahn–Hilliard equations for the phase field approach. The scheme has several attractive …
To CG or to HDG: a comparative study
Hybridization through the border of the elements (hybrid unknowns) combined with a Schur
complement procedure (often called static condensation in the context of continuous …
complement procedure (often called static condensation in the context of continuous …