On the navier-stokes equations in a domain with the moving boundary

1978 ◽  
pp. 160-169
Author(s):  
O. A. Oleinik
Keyword(s):  
Moving Boundary ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

Coupled CFD/GNC Modeling for the Basic Finner Projectile with Closed Loop

2014 ◽  
Vol 541-542 ◽  
pp. 1478-1482
Author(s):  
Ke Xi ◽  
Chao Yan ◽  
Yu Huang ◽  
Wen Wang
Keyword(s):  
Closed Loop ◽  
Moving Boundary ◽  
Stokes Equations ◽  
Engineering Application ◽  
Flight Simulation ◽  
Navier Stokes ◽  
Control Law ◽  
Navier Stokes Equations ◽  
Motion Equations ◽  
Flow Solver

The virtual flight simulation of the Basic Finner projectile has been investigated through coupling solving unsteady Navier-Stokes equations, rigid-body six degree-of-freedom motion equations, guidance, navigation and control law. The flow solver uses a finite-volume method based on structure grid with dual time stepping, the chimera method is used to simulate relative motions, the fourth-order Runger-Kutta method is used to solve the motion equations. A closed loop feedback control law with PID control is required for the elevator to attain the commanded deflection. The predictions show that the PID parameters for the controller must be correctly selected to obtain the proper response. Simulation results show that the virtual flight simulation platform that we developed is capable of solving the complicated unsteady flows with moving boundary, has a strong applicability to engineering application.

CFD Transonic Trajectory Predictions of Three-Store Ripple Release Using Chimera Method

2014 ◽  
Vol 513-517 ◽  
pp. 4490-4493 ◽  
Author(s):  
Ke Xi ◽  
Chao Yan
Keyword(s):  
Moving Boundary ◽  
Stokes Equations ◽  
Unsteady Flows ◽  
Rigid Body Dynamics ◽  
Navier Stokes ◽  
Separation Problem ◽  
Navier Stokes Equations ◽  
Body Dynamics ◽  
Multi Body ◽  
Good Agreement

The complicated unsteady flows with moving boundary were simulated numerically by coupling solving unsteady compressible Navier-Stokes equations and 6DOF rigid-body dynamics equations. The Chimera grid technology was used to handle the relative motion. The three-store ripple release of the wing-store configuration was simulated using this method. The computational results are in good agreement with data from other literature, showing that the method used has a strong applicability to complex multi-body separation problem.

A Growth Model For Ramified Electrochemical Deposition

1995 ◽  
Vol 407 ◽  
Author(s):  
Guillermo Marshall ◽  
Pablo Mocskos ◽  
Martin Olivella
Keyword(s):  
Growth Model ◽  
Electrochemical Deposition ◽  
Moving Boundary ◽  
Stokes Equations ◽  
Macroscopic Model ◽  
Navier Stokes ◽  
Discrete Version ◽  
Dimensionless Numbers ◽  
Navier Stokes Equations ◽  
Time Dependent Problem

ABSTRACTWe introduce a macroscopic model for the description of growth pattern formation in ramified electrochemical deposition. The theoretical model is formulated as a 2D time-dependent problem consisting in the Nernst-Planck equations for the concentration of the solute (cations and anions), coupled to a Poisson equation for the electrostatic potential and the Navier-Stokes equations for the solvent, with a moving boundary. A dimensional analysis is performed and a new set of dimensionless numbers governing the flow regime is derived. A 2D discrete version of these equations in a DBM scheme with a random moving boundary constitutes the computational model. We present numerical results which show that our growth model, with a proper variation of the set of dimensionless numbers, gives a reasonable picture of the interplay of the electroconvective, migration and diffusive motion of the ions near the growing tips.

scholarly journals Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes Equations and Mesh Movement

2018 ◽  
Vol 26 (2) ◽  
pp. 11-40
Author(s):  
Bjőrn Baran ◽  
Peter Benner ◽  
Jan Heiland ◽  
Jens Saak
Keyword(s):  
Optimal Control ◽  
Stefan Problem ◽  
Moving Boundary ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Interface Position ◽  
Cost Functional ◽  
Mesh Movement ◽  
Quadratic Tracking

Abstract The optimal control of moving boundary problems receives growing attention in science and technology. We consider the so called two-phase Stefan problem that models a solid and a liquid phase separated by a moving interface. The Stefan problem is coupled with incompressible Navier{Stokes equations. We take a sharp interface model approach and define a quadratic tracking-type cost functional that penalizes the deviation of the interface from the desired state and the control costs. With the formal Lagrange approach and an adjoint system we derive the gradient of the cost functional. The derived formulations can be used to achieve a desired interface position. Among others, we address how to handle the weak discontinuity of the temperature along the interface with mesh movement methods in a finite element framework.

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