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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
Teaching methods:	full-time

Guarantor:	RNDr. Ivo Opršal, Ph.D.

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: T_KG (22.04.2013)

A practical guide to the finite-difference modelling in geophysics with a view to wave propagation in complex 3D media.

Aim of the course -

Last update: T_KG (22.04.2013)

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

Course completion requirements -

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

Oral exam

Literature - Czech

Last update: T_KG (22.04.2013)

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

Teaching methods -

Last update: T_KG (22.04.2013)

Lecture

Requirements to the exam - Czech

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

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

Syllabus -

Last update: T_KG (22.04.2013)

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