Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Robust Fully Explicit Method for Solving the Navier-Stokes Equations
View through CrossRef
Abstract
The motion of viscous fluids is described by the Navier-Stokes equations. Theinherent nonlinearity in the Navier-Stokes equations preventsus from the analyticsolutions. This paper introduces a robust fully explicit method for numericallysolving the discretized Navier-Stokes equations, applicable to various flow typeswithout tuning parameters or artificial
models.
The numerical analysis resultsdemonstrating the stability and the robustness of the proposedfully explicitmethod imply the discovery of the rigorous spatial integration of the Navier-Stokes equations over the subdomain uniquely defined for the discrete samplingpoints in the analysis domain. We anticipate that our findings could serve as amilestone to the comprehensive resolution of the millennium problem regardingthe Navier-Stokes equations.
Title: Robust Fully Explicit Method for Solving the Navier-Stokes Equations
Description:
Abstract
The motion of viscous fluids is described by the Navier-Stokes equations.
Theinherent nonlinearity in the Navier-Stokes equations preventsus from the analyticsolutions.
This paper introduces a robust fully explicit method for numericallysolving the discretized Navier-Stokes equations, applicable to various flow typeswithout tuning parameters or artificial
models.
The numerical analysis resultsdemonstrating the stability and the robustness of the proposedfully explicitmethod imply the discovery of the rigorous spatial integration of the Navier-Stokes equations over the subdomain uniquely defined for the discrete samplingpoints in the analysis domain.
We anticipate that our findings could serve as amilestone to the comprehensive resolution of the millennium problem regardingthe Navier-Stokes equations.
Related Results
Convergence de méthodes numériques pour la mécanique des fluides : équation de Navier-Stokes stochastique et ses variantes
Convergence de méthodes numériques pour la mécanique des fluides : équation de Navier-Stokes stochastique et ses variantes
Convergence of numerical methods in fluid mechanics : The stochastic Navier-Stokes equation and its variants
Bien que le développement et l'évolution des méthodes n...
Robust Fully Explicit Method for Solving the Navier-Stokes Equations
Robust Fully Explicit Method for Solving the Navier-Stokes Equations
Abstract
The motion of viscous fluids is described by the Navier-Stokes equations. The inherent nonlinearity in the Navier-Stokes equations prevents us from the ana...
A Comparison Between Full and Simplified Navier-Stokes Equation Solutions for Rotating Blade Cascade Flow on S1 Stream Surface of Revolution
A Comparison Between Full and Simplified Navier-Stokes Equation Solutions for Rotating Blade Cascade Flow on S1 Stream Surface of Revolution
A method for solving the Navier-Stokes equations of the rotating blade cascade flow on S1 stream surface of revolution is developed in the present paper.
In this pap...
Eye movements during visuomotor adaptation represent only part of the explicit learning
Eye movements during visuomotor adaptation represent only part of the explicit learning
Abstract
Visuomotor rotations are learned through a combination of explicit strategy and implicit recalibration. However, measuring the relative contribution of eac...
On the α-Navier–Stokes–Vlasov and the α-Navier–Stokes–Vlasov–Fokker–Planck equations
On the α-Navier–Stokes–Vlasov and the α-Navier–Stokes–Vlasov–Fokker–Planck equations
We consider the α-Navier–Stokes equations coupled with a Vlasov type equation to model the flow of an incompressible fluid containing small particles. We prove the existence of glo...
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
In this paper, we study the existence and regularity of solutions to the Stokes and Oseen equations with nonhomogeneous Dirichlet boundary conditions with low regularity. We consid...
Analisis Kebutuhan Modul Matematika untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa SMP N 4 Batang
Analisis Kebutuhan Modul Matematika untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa SMP N 4 Batang
Pemecahan masalah merupakan suatu usaha untuk menyelesaikan masalah matematika menggunakan pemahaman yang telah dimilikinya. Siswa yang mempunyai kemampuan pemecahan masalah rendah...
Similarity reduction of a (3+1) Navier‐Stokes system
Similarity reduction of a (3+1) Navier‐Stokes system
PurposeProviding a much easier (direct) approach to calculate the Lie point symmetries of (3 + 1) unsteady Navier‐Stokes equations for viscous, incompressible flow in cylindrical p...