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. The inherent nonlinearity in the Navier-Stokes equations prevents us from the analytic solutions. This paper introduces a robust fully explicit method for numerically solving the discretized Navier-Stokes equations, applicable to various flow types without tuning parameters or artificial models. The numerical analysis results demonstrating the stability and the robustness of the proposed fully explicit method imply the discovery of the rigorous spatial integration of the Navier-Stokes equations over the subdomain uniquely defined for the discrete sampling points in the analysis domain. We anticipate that our findings could serve as a milestone to the comprehensive resolution of the millennium problem regarding the 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.
The inherent nonlinearity in the Navier-Stokes equations prevents us from the analytic solutions.
This paper introduces a robust fully explicit method for numerically solving the discretized Navier-Stokes equations, applicable to various flow types without tuning parameters or artificial models.
The numerical analysis results demonstrating the stability and the robustness of the proposed fully explicit method imply the discovery of the rigorous spatial integration of the Navier-Stokes equations over the subdomain uniquely defined for the discrete sampling points in the analysis domain.
We anticipate that our findings could serve as a milestone to the comprehensive resolution of the millennium problem regarding the 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. Theinherent nonlinearity in the Navier-Stokes equat...
Couplage des méthodes Navier-Stokes et Lattice Boltzmann pour les simulations aérodynamiques instationnaires
Couplage des méthodes Navier-Stokes et Lattice Boltzmann pour les simulations aérodynamiques instationnaires
La simulation numérique appliquée à la mécanique des fluides est devenue un outil de conception indispensable pour l’industrie aéronautique. Alors que la plupart des simulations in...
Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier
Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier
Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier dans un ouvert borné de . Le manuscrit ici est co...
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...
High-order discontinuous Galerkin methods for incompressible flows
High-order discontinuous Galerkin methods for incompressible flows
Aquesta tesi doctoral proposa formulacions de Galerkin discontinu (DG) d'alt ordre per fluxos viscosos incompressibles. <br/>Es desenvolupa un nou mètode de DG amb penalti in...