Dear Houdini

Do smoke simulation at rest position.

Use vellum/wire solver

Deform based on motion of two wires.

Use volume wrangle.
Plug volume to 1st, rest wire to 2nd and animated wire to 3rd input, and then:
(below is not perfect, but it might work enough.)

int prim;
vector uv;
int input = 1;
float dist = xyzdist(input, @P, prim, uv);
vector p1 = primuv(input, "P", prim, uv);
vector p2 = primuv(2, "P", prim, uv);

vector diff = p2 - p1;

@density = volumesample(0, "density", @P - diff);