Contents

CONTENTS

	Page
Abstract	1

Introduction	2

Acknowledgments	4

Model development	5

Introduction	5

Review of governing equations	5

Equation of motion	7

Diffusion hydrodynamic model	9

One-dimensional diffusion hydrodynamic model	9

Two-dimensional diffusion hydrodynamic model	12

Numerical approximation	14

Numerical solution algorithm	14

Numerical model formulation (Grid element)	15

Model timestep selection	18

Verification of diffusion hydrodynamic model	19

Introduction	19

One-dimensional analysis	22

Study approach	22

Grid spacing selection	29

Conclusions and discussions	30

Two-dimensional analysis	31

Introduction	31

K-634 modeling results and discussion	33

iii

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