exact_solution

pure function exact_solution(p, d, n) result(u)

Computes the exact solution corresponding to the source term

$u(x, y, z) = \frac{1}{\lambda} \sin(m_1 \pi x / L_1) \sin(m_2 \pi y / L_2) \sin(m_3 \pi z / L_3) \quad\text{where}\quad \lambda = \left( \frac{m_1 \pi}{L_1} \right)^2 + \left( \frac{m_2 \pi}{L_2} \right)^2 + \left( \frac{m_3 \pi}{L_3} \right)^2$

Arguments

Type	Intent		Name
real(kind=rk),	intent(in)	::	p(3)	Coordinates (x, y, z)
real(kind=rk),	intent(in)	::	d(3)	Domain size (L1, L2, L3)
integer,	intent(in)	::	n(3)	Mode numbers (m1, m2, m3)

Return Value real(kind=rk)

Called by

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exact_solution Function

Contents

pure function exact_solution(p, d, n) result(u)

Arguments

Return Value real(kind=rk)

Called by