Package hedge :: Module pde :: Class VariableVelocityStrongWaveOperator

Class VariableVelocityStrongWaveOperator

This operator discretizes the Wave equation ∂tt u = c^2 Δ u.

To be precise, we discretize the hyperbolic system

∂t u - c div v = 0
∂t v - c grad u = 0

Instance Methods

__init__(self, c, dimensions, source=None, flux_type='upwind', dirichlet_tag=<class 'hedge.mesh.TAG_ALL'>, neumann_tag=<class 'hedge.mesh.TAG_NONE'>, radiation_tag=<class 'hedge.mesh.TAG_NONE'>, time_sign=1)
`c` is assumed to be positive and conforms to the `hedge.data.ITimeDependentGivenFunction` interface. source code

flux(self)

source code

op_template(self)

source code

bind(self, discr)

source code

Method Details

[hide private]

init(self, c, dimensions, source=None, flux_type=`'upwind'`, dirichlet_tag=<class 'hedge.mesh.TAG_ALL'>, neumann_tag=<class 'hedge.mesh.TAG_NONE'>, radiation_tag=<class 'hedge.mesh.TAG_NONE'>, time_sign=1)
(Constructor)

source code

`c` is assumed to be positive and conforms to the `hedge.data.ITimeDependentGivenFunction` interface.

`source` also conforms to the `hedge.data.ITimeDependentGivenFunction` interface.

Class VariableVelocityStrongWaveOperator

__init__(self, c, dimensions, source=None, flux_type='upwind', dirichlet_tag=<class 'hedge.mesh.TAG_ALL'>, neumann_tag=<class 'hedge.mesh.TAG_NONE'>, radiation_tag=<class 'hedge.mesh.TAG_NONE'>, time_sign=1) (Constructor)

init(self, c, dimensions, source=None, flux_type=`'upwind'`, dirichlet_tag=<class 'hedge.mesh.TAG_ALL'>, neumann_tag=<class 'hedge.mesh.TAG_NONE'>, radiation_tag=<class 'hedge.mesh.TAG_NONE'>, time_sign=1)
(Constructor)