Incompressible flows and the Boussinesq approximation: 50 years of CFD

Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity

Abstract: We prove the existence and uniqueness of weak solutions to the variational formulation of the Maxwell-Boussinesq approximation problem. Some further regularity in W , δ > 0, is obtained for the weak solutions. The shape sensitivity analysis by the boundary variations technique is performed for the weak solutions. As a result, the existence of the strong material derivatives for the we...

The 2D Incompressible Boussinesq Equations

the innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran

آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...

Momentum-based approximation of incompressible multiphase fluid flows

Funding information National Science Foundation, Grant/Award Number: DMS-1620058 and DMS-1619892; Air Force Office of Scientific Research, USAF, Grant/Award Number: FA9550-15-1-0257; Army Research Office, Grant/Award Number: W911NF-15-1-0517; GENCI (Grand Equipement National de Calcul Intensif) Summary We introduce a time stepping technique using the momentum as dependent variable to solve inco...

Numerical Simulation of Incompressible Two–Phase Flows with a Boussinesq–Scriven Interface Stress Tensor

We consider the numerical simulation of a three-dimensional two-phase incompressible flow with a viscous interface. The simulation is based on a sharp interface Navier-Stokes model and the Boussinesq-Scriven constitutive law for the interface viscous stress tensor. In the recent paper [Soft Matter 7, 7797–7804, 2011] a model problem with a spherical droplet in a Stokes Poiseuille flow with a Bo...