sdf_domainmask.h File Reference

Defines abstract interfaces and concrete classes signed distance functions and domain masks. More...

#include <madness/mra/mra.h>

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Classes
class	madness::DomainMaskInterface
	The interface for masking functions defined by signed distance functions. More...
class	madness::DomainMaskSDFFunctor< NDIM >
	Framework for combining a signed distance function (sdf) with a domain mask to produce MADNESS functions. More...
class	madness::GaussianDomainMask
	Use a Gaussian for the surface function and the corresponding erf for the domain mask. More...
class	madness::LLRVDomainMask
	Provides the Li-Lowengrub-Ratz-Voight (LLRV) domain mask characteristic functions. More...
class	madness::SignedDFInterface< NDIM >
	The interface for a signed distance function (sdf). More...

Namespaces
namespace	madness
	Namespace for all elements and tools of MADNESS.

Detailed Description

Defines abstract interfaces and concrete classes signed distance functions and domain masks.

Interfaces for a signed distance function (sdf) and a domain mask are made. The original conception of these interfaces was for doing shapes and interior boundary conditions in MADNESS; however, the interfaces were abstracted for other applications.

The domain mask builds on a sdf such that for smooth switching between domains. That said, a mask needs a sdf.

A general-purpose functor is given that combines a sdf and mask to produce MADNESS functions for various entities including

• The domain mask (trace is the volume)
• The gradient of mask (related to the surface)
• The surface (trace is the surface area)
• The normal derivative of the surface