diff --git a/doc/manual/initial.rst b/doc/manual/initial.rst index f535f76aa9dd2ded375c866ecda0345dad51a0ec..f4c539da8beaf6a6fb69478a12a7e4a8f1261bd2 100644 --- a/doc/manual/initial.rst +++ b/doc/manual/initial.rst @@ -59,9 +59,13 @@ They are controlled by the initial.type key and available for every model. .. tip:: The expression for a gaussian pulse of solute concentration centered at - :math:\vec{p} = [0.5, 0.5]^T \, \mathrm{m} is:: + :math:\vec{p} = [0.5, 0.5]^T \, \mathrm{m} and variance of + :math:\sigma^2 = \left( 0.1 \, \mathrm{m} \right)^2 is:: - initial.equation = exp(-sqrt((x-0.5)^2+(y-0.5)^2)/(4.*0.002))/(4*pi*0.002)^(2/dim). + initial.equation = * exp(-((x-0.5)^2+(y-0.5)^2)/(2.*0.1^2)) / (2*pi*0.1^2) + + where  is the total solute mass of the pulse + :math:m_s \, [\text{kg}]. .. object:: Dataset @@ -108,7 +112,8 @@ Initial condition tranformations for the Transport solver. * quantity = soluteConcentration The input data is directly interpreted as solute concentration, - :math:f = c_w [\mathrm{kg}/\mathrm{m}^3]. + :math:f = c_w [\mathrm{kg}/\mathrm{m}^d], where :math:d indicates the + spatial dimensions of the grid. .. _H5: https://www.h5py.org/ .. _muparser: http://beltoforion.de/article.php?a=muparser&p=features