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D28: Internal seiche mixing study - Hydromod

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Integrated Water Resource Management for Important Deep European Lakes and their Catchment Areas<br />

EUROLAKES<br />

<strong>D28</strong>: <strong>Internal</strong> <strong>seiche</strong> <strong>mixing</strong> <strong>study</strong><br />

Table of contents<br />

FP5_Contract No.: EVK1-CT1999-00004<br />

Version: 1.2<br />

Date: 24.08.2004<br />

File: <strong>D28</strong>.doc<br />

Page 2 of 92<br />

1 Introduction 4<br />

1.1 GENERAL CONSIDERATIONS 4<br />

1.2 OBJECTIVES 5<br />

2 Lac du Bourget 6<br />

2.1 INTRODUCTION 6<br />

2.2 THE ENVIRONMENT OF LAC DU BOURGET 6<br />

2.3 MEASUREMENT ON THE LAKE 7<br />

2.3.1 The data 7<br />

2.4 APPLICATIONS 11<br />

2.4.1 TELEMAC System 11<br />

2.4.2 SIMULATED SEICHES – ANALYSIS 17<br />

2.5 CONCLUSIONS 20<br />

2.6 REFERENCES 20<br />

3 <strong>Internal</strong> <strong>seiche</strong>s and <strong>mixing</strong> in Lac Léman 21<br />

3.1 THE LAC LÉMAN ENVIRONMENT 21<br />

3.2 FIELD STUDIES 22<br />

3.2.1 Modes detected 22<br />

3.2.2 Wave propagation patterns 24<br />

3.2.3 Evidence of Poincaré waves 31<br />

3.2.4 Progressive vector analysis 31<br />

3.2.5 Mixing by internal <strong>seiche</strong>s 32<br />

3.3 NUMERICAL SIMULATIONS 35<br />

3.3.1 Model Description 35<br />

3.3.2 Mixing by Long <strong>Internal</strong> Waves - Model Results 36<br />

3.4 CONCLUSIONS 42<br />

3.5 REFERENCES 44<br />

4 Maps and tables of free internal <strong>seiche</strong>s in Upper Lake Constance for practical use 46<br />

4.1 OBJECTIVE 46<br />

4.2 OUTLINE OF THE CALCULATION 47<br />

4.3 AUXILIARY FORMULATIONS FOR EVALUATION OF EIGEN-PERIODS WITH RESPECT TO DIFFERENT<br />

STRATIFICATIONS 52<br />

4.4 THE EIGEN-PERIODS INCLUDING THE CORIOLIS EFFECT 54<br />

4.5 THE HORIZONTAL STRUCTURES OF THE INTERFACE AMPLITUDES 58<br />

4.6 THE HORIZONTAL STRUCTURES OF THE CURRENTS 74<br />

4.7 REFERENCES 81

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