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KSIĘGARNIA NAUKOWO - AKADEMICKA

Introduction to computational engineering hydraulics

38,00 

ISBN/ISSN: 978-83-7348-672-0

Wydanie: 1

Rok publikacji: 2016

Stron: 308

Opis

Introduction to computational engineering hydraulics

Wydawnictwo Politechniki Gdańskiej

Szymkiewicz RomualdHuang SuiliangSzymkiewicz Adam

 

 

Słowa kluczowe: hydraulic engineering, numerical techniques

 

Opis:

Niniejsza książka pomyślana jest jako pomoc dydaktyczna w zakresie metod obliczeniowych stosowanych w inżynierii wodnej. Aby ułatwić korzystanie z podręcznika jego treść podzielona została na dwie części. W pierwszej części Czytelnik znajdzie syntetyczny opis standardowych metod i technik numerycznych, szczególnie często stosowanych w obliczeniach z zakresu inżynierii wodnej. W części drugiej przedstawiono opisy wybranych i raczej typowych zagadnień związanych z przepływami wody i transportu rozpuszczonych w niej domieszek w kanałach otwartych, w gruncie oraz w rurociągach.

Aby ułatwić korzystanie z podręcznika podstawowe równania i zależności znane z kursów mechaniki płynów, hydrauliki, hydrologii i hydrogeologii zostały wyprowadzone w sposób możliwie prosty. Wybrane przypadki przepływu wody opisane tymi równaniami rozwiązano opisanymi w części pierwszej metodami numerycznymi. Dla wielu, raczej typowych, zagadnień przedstawiono również tabulogramy podprogramów lub programów w języku FORTRAN.

Książka adresowana jest do studentów i doktorantów studiujących budownictwo wodne i inżynierię środowiska w języku angielskim zarówno w Politechnice Gdańskiej, jak i w Nankai University w Chinach.

 

 

CONTENTS
PREFACE
Part 1. BASIC NUMERICAL TECHNIQUES APPLIED IN HYDRAULIC
ENGINEERING
1. SOLUTION OF SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
1.1. Introduction to the problem
1.2. Direct methods
1.2.1. Systems with triangular matrices
1.2.2. Gauss elimination method
1.2.3. LU decomposition method
1.3. Iterative methods
1.3.1. Simple iterative methods
1.3.2. Representation of sparse matrices
1.3.3. Conjugate gradient method
1.3.4. Bi-conjugate gradient stabilized method
1.4. Ill-conditioned systems of equations
2. SOLUTION OF NONLINEAR ALGEBRAIC EQUATIONS AND THEIR SYSTEMS
2.1. Introduction to the problem
2.2. Methods for solving nonlinear algebraic equations
2.2.1. Bisection method
2.2.2. False position method
2.2.3. Newton method
2.2.4. Simple fixed point iteration
2.2.5. Steffenson method
2.2.6. Wegstein method
2.3. Methods for solving systems of nonlinear algebraic equations
2.3.1. Newton method
2.3.2. Picard method
3. CURVE FITTING USING LEAST SQUARES METHOD
4. SEARCHING EXTREME POINT FOR FUNCTION f (x)
4.1. Optimization problem as solution of nonlinear algebraic equation
4.2. Solution of optimization problem by dividing of interval containing the extreme point
4.2.1. Dividing on three equal parts
4.2.2. Dividing using golden number
5. SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS AND THEIR SYSTEMS
5.1. Introduction to numerical solution of ordinary differential equations
5.2. Numerical solution of the initial value problem for ordinary differential equation
5.3. Single step explicit methods
5.3.1. Euler explicit method
5.3.2. Improved Euler explicit method
5.3.3. Runge-Kutta method
5.4. Single step implicit methods
5.4.1. Euler implicit method
5.4.2. Implicit trapezoidal rule
5.4.3. Generalization of 1-step implicit formulas
5.4.4. Solution of nonlinear equations provided by implicit formulas
5.5. Solution of initial value problem for system of ordinary differential equations
5.6. Solution of boundary value problem for ordinary differential equations
6. INTRODUCTION TO SOLUTION PROBLEM OF PARTIAL DIFFERENTIAL
EQUATIONS
6.1. Classification of 2nd order PDE with 2 independent variables
6.2. Formulation of solution problem for PDEs
6.3. Numerical solution of PDEs
6.3.1. Solution of PDEs using FDM
6.3.2. Solution of PDEs using FEM
6.3.3. Properties of numerical methods for PDEs: convergence, consistency and
stability
Part 2. HYDRAULIC ENGINEERING PROBLEMS SOLVED USING
NUMERICAL TECHNIQUES
7. BASIC DEFINITIONS, RELATIONS AND EQUATIONS USED IN HYDRAULIC
ENGINEERING
7.1. Discharge and average flow velocity
7.2. Bernoulli equation
7.3. Reynolds number
7.4. Steady flow in conduits
7.4.1. Steady flow in closed conduit
7.4.2. Steady uniform flow in open channel
8. ORIFICES, WEIRS AND SPILLWAYS
8.1. Discharge through orifices
8.2. Unsteady outflow of water from tank
8.3. Flow over weirs and spillways
8.4. Hydraulic jump and stilling basin
9. FLOW IN PIPES
9.1. Steady flow in pipes of water supply system
9.2. Unsteady flow in system: reservoir – conduit – chamber
10. STEADY OPEN CHANNEL FLOW
10.1. Normal depth in open channel
10.2. Critical, subcritical and supercritical flow
10.3. Designing of open channel cross section
10.4. Natural open channel
10.5. Rating curve Q(h)
10.6. Steady gradually varied flow in open channel
10.6.1. Governing equations for steady gradually varied flow
10.6.2. Solution of initial value problem for steady gradually varied flow equation
10.6.3. Solution of boundary value problem for steady gradually varied flow equations
11. UNSTEADY OPEN CHANNEL FLOW
11.1. Derivation of governing equations
11.1.1. Continuity equation
11.1.2. Dynamic equation
11.2. Simplified open channel flow equations
11.3. Storage equation
11.4. Numerical solution of advection equation
11.4.1. Classification of advection equation and required auxiliary conditions
11.4.2. Solution of linear advection equation using method of characteristics
11.4.3. Solution of linear advection equation using finite difference up-wind scheme
11.4.4. Accuracy analysis of numerical solution of linear advection equation using
modified equation approach
11.5. Solution of Saint-Venant equations
11.6. Solution of nonlinear kinematic wave equation
12. GROUNDWATER FLOW
12.1. Introduction to the problem
12.2. Flow in saturated zone
12.3. Flow in unsaturated zone
12.4. Numerical solution of 1D groundwater flow equation using FDM
12.4.1. Solution using explicit scheme
12.4.2. Solution using Crank-Nicolson scheme
12.4.3. Solution of nonlinear equation using fully implicit scheme
12.5. Solution of 1D Richards equation for water flow in unsaturated soils
12.6. Numerical solution of 2D groundwater flow equation
12.6.1. Solution using explicit scheme
12.6.2. Solution using implicit scheme
12.6.3. Solution using alternating direction implicit method
12.7. Numerical solution of 2D groundwater steady flow equation
12.7.1. Solution of Poisson equation using FDM
12.7.2. Solution of steady groundwater flow in confined aquifer using FEM
13. POLLUTANTS TRANSPORT IN FLOWING WATER
13.1. Transport of substances dissolved in water
13.2. Heat transport by flowing water
13.3. Simplified forms of 1D transport equation
13.4. Numerical solution of 1D advection – diffusion transport equation
13.4.1. Solution using implicit scheme of FDM
13.4.2. Numerical diffusion in solution of advection-diffusion equation
13.4.3. Solution of advection-diffusion transport equation using modified FEM
13.5. Characteristics of processes represented in 1D transport equation
13.6. Advection-diffusion transport equation in environmental engineering
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