Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
March 9, 2011
Today:
Approximate Riemann solvers
Multidimensional
Friday:
AMR
Projects: Make an appointment this week, and see
http:/www.clawpack.org/links/burgersadv
R.J. LeVeque, University of Washington
AMath 574, March 9, 2011
Shallow wat
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
February 4, 2011
Today:
Multidimensional unsplit methods
Donor Cell and Corner Transport Upwind
Variable coefcient advection
Stream functions
aux arrays and b4step2.
Monday:
Multidimensional acoustics and elasticity
Reading: Chapter 21
R
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
February 11, 2011
Today:
Entropy conditions and functions
LaxWendroff theorem
Wednesday February 23:
Nonlinear systems
Reading: Chapter 13
R.J. LeVeque, University of Washington
AMath 574, February 14, 2011
Entropyviolating numerical soluti
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
February 28, 2011
Today:
Another example nonlinear system: Burgers + Advection
Shallow water Riemann solution
Next Monday:
Finite volume methods
Approximate Riemann solvers
Reading: Chapter 15
R.J. LeVeque, University of Washington
AMath 574
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
March 7, 2011
Today:
Finite volume methods for nonlinear systems
Wave propagation algorithms
Approximate Riemann solvers
Wednesday:
More about nite volume methods
Friday:
Projects, What else?
Reading: Chapter 15
Projects: Make an appointmen
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
February 7, 2011
Today:
Wave propagation for 2d acoustics
2d elasticity
Wednesday:
Nonlinear scalar conservation laws
Reading: Chapter 11
R.J. LeVeque, University of Washington
AMath 574, February 7, 2011
Acoustics in heterogeneous media
q =
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
January 31, 2011
Today:
Boundary conditions
Multidimensional
Wednesday and Friday:
More multidimensional
Reading: Chapters 18, 19, 20
R.J. LeVeque, University of Washington
AMath 574, January 31, 2011
Boundary conditions and ghost cells
In
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 19, 2011
R.J. LeVeque, University of Washington
AMath 574, January 19, 2011
Outline
Today:
Finite volume me
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 5, 2011
R.J. LeVeque, University of Washington
AMath 574, January 5, 2011
Outline
Today:
2D hyperbolic syst
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 3, 2011
R.J. LeVeque, University of Washington
AMath 574, January 3, 2011
Course outline
Main goals:
Theory
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 10, 2011
R.J. LeVeque, University of Washington
AMath 574, January 10, 2011
Outline
Today:
Gas dynamics
Li
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 24, 2011
R.J. LeVeque, University of Washington
AMath 574, January 24, 2011
Outline
Today:
CFL condition
N
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
AMath 574
January 28, 2011
Today:
Plotting in Python
Monday:
Boundary conditions
Multidimensional
Reading: Chapters 7, 18, 19
Plotting documentation:
http:/www.clawpack.org/users/plotting.html
R.J. LeVeque, University of Washington
AMath 574, January
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 26, 2011
R.J. LeVeque, University of Washington
AMath 574, January 26, 2011
Outline
Today:
LaxWendroff, di
Reading Group on Hyperbolic PDEs and Finite Volume Methods
MATH 574

Winter 2011
Conservation Laws and Finite Volume Methods
AMath 574
Winter Quarter, 2011
Randall J. LeVeque
Applied Mathematics
University of Washington
January 12, 2011
R.J. LeVeque, University of Washington
AMath 574, January 12, 2011
Outline
Today:
Review acoustics