Tryin to prepare autotest for forcing.
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@@ -709,27 +709,80 @@ is_valid(const ModelVector& a)
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return is_valid(a.x) && is_valid(a.y) && is_valid(a.z);
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}
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static inline ModelVector
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forcing(int3 globalVertexIdx)
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{
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// source (origin)
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ModelVector a = ModelScalar(.5) * (ModelVector){get(AC_nx) * get(AC_dsx),
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get(AC_ny) * get(AC_dsy),
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get(AC_nz) * get(AC_dsz)};
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// sink (current index)
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ModelVector b = (ModelVector){(globalVertexIdx.x - get(AC_nx_min)) * get(AC_dsx),
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(globalVertexIdx.y - get(AC_ny_min)) * get(AC_dsy),
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(globalVertexIdx.z - get(AC_nz_min)) * get(AC_dsz)};
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ModelScalar magnitude = 0.05;
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// Vector c = magnitude * (1 / length(b - a)) * normalized(b - a); // Outward flow
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ModelVector c = magnitude * cross(normalized(b - a), (ModelVector){0, 0, 1}); // Vortex
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if (is_valid(c)) {
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return c;
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}
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else {
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return (ModelVector){0, 0, 0};
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}
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static inline ModelVector
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simple_vortex_forcing(ModelVector a, ModelVector b, ModelScalar magnitude)
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{
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return magnitude * cross(normalized(b - a), (ModelVector){0, 0, 1}); // Vortex
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}
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static inline ModelVector
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simple_outward_flow_forcing(ModelVector a, ModelVector b, ModelScalar magnitude)
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{
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return magnitude * (1 / length(b - a)) * normalized(b - a); // Outward flow
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}
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// The Pencil Code forcing_hel_noshear(), manual Eq. 222, inspired forcing function with adjustable helicity
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static inline ModelVector
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helical_forcing(ModelScalar magnitude, ModelVector k_force, ModelVector xx, ModelVector ff_re, ModelVector ff_im, ModelScalar phi)
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{
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xx.x = xx.x*(2.0*M_PI/(get(AC_dsx)*(get(AC_ny_max) - get(AC_ny_min))));
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xx.y = xx.y*(2.0*M_PI/(get(AC_dsy)*(get(AC_ny_max) - get(AC_ny_min))));
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xx.z = xx.z*(2.0*M_PI/(get(AC_dsz)*(get(AC_ny_max) - get(AC_ny_min))));
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ModelScalar cos_phi = cos(phi);
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ModelScalar sin_phi = sin(phi);
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ModelScalar cos_k_dox_x = cos(dot(k_force, xx));
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ModelScalar sin_k_dox_x = sin(dot(k_force, xx));
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// Phase affect only the x-component
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ModelScalar real_comp_phase = cos_k_dox_x*cos_phi - sin_k_dox_x*sin_phi;
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ModelScalar imag_comp_phase = cos_k_dox_x*sin_phi + sin_k_dox_x*cos_phi;
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ModelVector force = (ModelVector){ ff_re.x*real_comp_phase - ff_im.x*imag_comp_phase,
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ff_re.y*real_comp_phase - ff_im.y*imag_comp_phase,
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ff_re.z*real_comp_phase - ff_im.z*imag_comp_phase};
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return force;
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}
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static inline ModelVector
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forcing(int3 globalVertexIdx, ModelScalar dt)
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{
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ModelVector a = ModelScalar(.5) * (ModelVector){ get(AC_nx) * get(AC_dsx),
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get(AC_ny) * get(AC_dsy),
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get(AC_nz) * get(AC_dsz)}; // source (origin)
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ModelVector xx = (ModelVector){(globalVertexIdx.x - get(AC_nx_min)) * get(AC_dsx),
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(globalVertexIdx.y - get(AC_ny_min) * get(AC_dsy)),
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(globalVertexIdx.z - get(AC_nz_min) * get(AC_dsz))}; // sink (current index)
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const ModelScalar cs2 = get(AC_cs2_sound);
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const ModelScalar cs = sqrt(cs2);
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//Placeholders until determined properly
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ModelScalar magnitude = get(AC_forcing_magnitude);
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ModelScalar phase = get(AC_forcing_phase);
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ModelVector k_force = (ModelVector){ get(AC_k_forcex), get(AC_k_forcey), get(AC_k_forcez)};
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ModelVector ff_re = (ModelVector){get(AC_ff_hel_rex), get(AC_ff_hel_rey), get(AC_ff_hel_rez)};
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ModelVector ff_im = (ModelVector){get(AC_ff_hel_imx), get(AC_ff_hel_imy), get(AC_ff_hel_imz)};
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//Determine that forcing funtion type at this point.
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//ModelVector force = simple_vortex_forcing(a, xx, magnitude);
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//ModelVector force = simple_outward_flow_forcing(a, xx, magnitude);
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ModelVector force = helical_forcing(magnitude, k_force, xx, ff_re,ff_im, phase);
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//Scaling N = magnitude*cs*sqrt(k*cs/dt) * dt
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const ModelScalar NN = cs*sqrt(get(AC_kaver)*cs);
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//MV: Like in the Pencil Code. I don't understandf the logic here.
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force.x = sqrt(dt)*NN*force.x;
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force.y = sqrt(dt)*NN*force.y;
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force.z = sqrt(dt)*NN*force.z;
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if (is_valid(force)) { return force; }
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else { return (ModelVector){0, 0, 0}; }
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}
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static void
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@@ -795,10 +848,10 @@ solve_beta_step(const int step_number, const ModelScalar dt, const int i, const
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#if LFORCING
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if (step_number == 2) {
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ModelVector force = forcing((int3){i, j, k});
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out->vertex_buffer[VTXBUF_UUX][idx] += force.x * dt;
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out->vertex_buffer[VTXBUF_UUY][idx] += force.y * dt;
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out->vertex_buffer[VTXBUF_UUZ][idx] += force.z * dt;
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ModelVector force = forcing((int3){i, j, k}, dt);
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out->vertex_buffer[VTXBUF_UUX][idx] += force.x ;
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out->vertex_buffer[VTXBUF_UUY][idx] += force.y ;
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out->vertex_buffer[VTXBUF_UUZ][idx] += force.z ;
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}
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#endif
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}
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