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Finite-difference Numerical Modeling in Geophysics - NDGF027
Title: Numerické modelování metodou konečných diferencí v geofyzice
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2013
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: RNDr. Ivo Opršal, Ph.D.
Teacher(s): RNDr. Ivo Opršal, Ph.D.
Annotation -
A practical guide to the finite-difference modelling in geophysics with a view to wave propagation in complex 3D media.
Last update: T_KG (22.04.2013)
Aim of the course -

A student, who is able to design and realize his own finite-difference method for numerical modelling of physical quantities.

Last update: T_KG (22.04.2013)
Course completion requirements -

Oral exam

Last update: Gallovič František, prof. RNDr., Ph.D. (10.06.2019)
Literature - Czech

G. Schubert Treatise on geophysics, Volume 1 - Seismology and Structure of the Earth, Elsevier Science, 2007, ISBN-13: 978-0444519283

K. Aki, P. G. Richards, Quantitative Seismology, University Science Books; 2009, ISBN-10: 1891389637

J. E.Vidale, D. V. Helmberger, 1987. Path effects in strong motion seismology, in Seismic Strong Motion Synthetics, pp. 267-319, ed. Bolt, B.A., Academic Press, Orlando, FL, USA.

A. R. Levander, 1989. Finite-difference forward modeling in seismology, in The Encyclopedia of Solid Earth Geophysics, pp. 410-431, ed. James, D.E., Van Nostrand Reinhold.

V. Pretlová, J. Zahradník, Numerické metody v geofyzice I., II. (skripta), SPN, 1978/1981

Last update: T_KG (22.04.2013)
Teaching methods -

Lecture

Last update: T_KG (22.04.2013)
Requirements to the exam - Czech

Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce.

Last update: Gallovič František, prof. RNDr., Ph.D. (06.10.2017)
Syllabus -

1. Approximation of derivatives by difference operators

2. Partial differential equations and their approximation by difference equations (in particular elastodynamic equation)

3. Numerical dispersion, stability and the order of accuracy of a stencil, computational demands

4. Explicit and implicit stencils, heterogeneous stencils, approximation of material discontinuities and free-surface condition

5. Finite-difference method on regular and irregular grids

6. Acoustic and elastodynamic equations formulated in displacements on standard grids; stress-velocity formulation on staggered grids

7. Optimum operators and increasing stencil accuracy

8. Realizing the source and attenuation using a volume force

9. Artificial boundary conditions on the edges of the computational domain: non-reflecting boundaries, tapers and symmetry conditions

10. Hybrid formulation used for injecting physical field into computational domain

Last update: T_KG (22.04.2013)
 
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