## A numerical investigation of stably stratified, wind driven cavity flow by the finite element method |

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### Contents

THE EQUATIONS OF TWODIMENSIONAL STRATIFIED CAVITY FLOW | 10 |

THE FINITE ELEMENT METHOD | 35 |

PROGRAMMING AND SOLUTION FEATURES | 76 |

3 other sections not shown

### Common terms and phrases

advection algebraic analysis aspect ratio bottom boundary conditions boundary integral card file cavity flow Chapter circulation cells Combined Convection constant convergence corner density diffusion density equation density field derivatives differential equations downwind eddy viscosity element stiffness matrices energy Figure finite difference finite element method flow field Galerkin Method governing equations Grashof Grashof number heat homogeneous horizontal density gradients horizontal diffusion indicial notation input Isopycnic Contours lake model linear momentum diffusion Natural Convection Newton Raphson nodes nondimensional nonlinear physical polynomial Prandtl number problem PrRe region Reynolds number right hand side secondary cell Shallow Cavity shallow lake shape functions Shear Driven shear stress solution vectors stiffness equation stmts Streamline and Isopycnic Streamline Contours Subroutine surface technique temperature test model thermocline tion turbulent variables vertical density gradients vertical velocity vorticity Weighted Residuals Wind Driven wind shear x-momentum zero Zienkiewicz