.TH "limiter" 3rheolef "Sat Mar 13 2021" "Version 7.1" "rheolef" \" -*- nroff -*-
.ad l
.nh
.SH NAME
limiter \- discontinuous Galerkin slope limiter (rheolef-7\&.1)
.SH "SYNOPSIS"
.PP
.PP
.nf
template <class T, class M>
field_basic<T,M>
limiter (
   const field_basic<T,M>& uh,
   const T&                bar_g_S = 1\&.0,
   const limiter_option&   opt = limiter_option());
.fi
.PP
 
.SH "DESCRIPTION"
.PP
This function returns a slope limited field for any supplied discontinuous approximation\&. 
.PP
.nf
    geo omega ("square");
    space Xh (omega, "P1d");
    field uh (Xh);
    ...
    field vh = limiter(uh);

.fi
.PP
 It implements the minmod_TVB limiter for hyperbolic nonlinear problems approximated by discontinuous Galerkin methods\&. See the \fBusersguide\fP for details and examples\&.
.SH "OPTIONS"
.PP
.PP
.nf
struct limiter_option {
  bool active; 
  Float theta; // > 1, see Coc-1998, P\&. 209
  Float M;     // M=max|u''(t=0)(x)| at x where u'(t)(x)=0 :extremas
  limiter_option() : active(true), theta(1\&.5), M(1) {}
};
.fi
.PP
 
.SH "IMPLEMENTATION"
.PP
This documentation has been generated from file main/lib/limiter\&.h 
.SH AUTHOR
Pierre  Saramito  <Pierre.Saramito@imag.fr>
.SH COPYRIGHT
Copyright   (C)  2000-2018  Pierre  Saramito  <Pierre.Saramito@imag.fr>
GPLv3+: GNU GPL version 3 or later  <http://gnu.org/licenses/gpl.html>.
This  is  free  software:  you  are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.