fv_operator_truncation Namespace Reference

Functions
	sdf (x, y, z)
	lap (x, y, z)
	face_open (N, axis, h)
	run (N)

Variables
float	R = 0.1
	prev = None
	rms
	mx
	nc
	o = np.log2(prev[1]/mx) if prev else float('nan')

Detailed Description

A-priori truncation test of the FV viscous operator L_visc(u) = mu[ Σ_f o_f(u_i-u_nbr) - Σ_a W_a g_a ]
vs the exact ∫_fluidCV(-mu ∇²u) dV, for the manufactured field u = sdf (u=0 on the sphere, ∇u=n̂,
∇²u = 2/r). The wall gradient g_a = n_a is EXACT for u=sdf, so this isolates the FACE-flux term.
Compares (A) face-CENTRE two-point flux vs (B) face flux evaluated at the open-area centroid.

Function Documentation

sdf()

fv_operator_truncation.sdf	(		x,
			y,
			z
	)

Definition at line 7 of file fv_operator_truncation.py.

Referenced by run().

lap()

fv_operator_truncation.lap	(		x,
			y,
			z
	)

Definition at line 8 of file fv_operator_truncation.py.

Referenced by run().

face_open()

fv_operator_truncation.face_open	(		N,
			axis,
			h
	)

Definition at line 9 of file fv_operator_truncation.py.

Referenced by run().

run()

fv_operator_truncation.run

(

N

)

Definition at line 20 of file fv_operator_truncation.py.

References face_open(), lap(), and sdf().

Variable Documentation

R

float fv_operator_truncation.R = 0.1

Definition at line 6 of file fv_operator_truncation.py.

prev

tuple fv_operator_truncation.prev = None

Definition at line 49 of file fv_operator_truncation.py.

rms

fv_operator_truncation.rms

Definition at line 52 of file fv_operator_truncation.py.

mx

fv_operator_truncation.mx

Definition at line 52 of file fv_operator_truncation.py.

nc

fv_operator_truncation.nc

Definition at line 52 of file fv_operator_truncation.py.

o

fv_operator_truncation.o = np.log2(prev[1]/mx) if prev else float('nan')

Definition at line 53 of file fv_operator_truncation.py.