Added a proof-of-concept helical forcing which uses the newly introduced ScalarArrays for reading profiles. Not extensively tested.
This commit is contained in:
5
acc/pc_mhd_solver/.gitignore
vendored
Normal file
5
acc/pc_mhd_solver/.gitignore
vendored
Normal file
@@ -0,0 +1,5 @@
|
||||
build
|
||||
testbin
|
||||
|
||||
# Except this file
|
||||
!.gitignore
|
75
acc/pc_mhd_solver/stencil_assembly.sas
Normal file
75
acc/pc_mhd_solver/stencil_assembly.sas
Normal file
@@ -0,0 +1,75 @@
|
||||
#include "stencil_definition.sdh"
|
||||
|
||||
Preprocessed Scalar
|
||||
value(in ScalarField vertex)
|
||||
{
|
||||
return vertex[vertexIdx];
|
||||
}
|
||||
|
||||
Preprocessed Vector
|
||||
gradient(in ScalarField vertex)
|
||||
{
|
||||
return (Vector){derx(vertexIdx, vertex), dery(vertexIdx, vertex), derz(vertexIdx, vertex)};
|
||||
}
|
||||
|
||||
#if LUPWD
|
||||
|
||||
Preprocessed Scalar
|
||||
der6x_upwd(in ScalarField vertex)
|
||||
{
|
||||
Scalar inv_ds = AC_inv_dsx;
|
||||
|
||||
return (Scalar){Scalar(1.0 / 60.0) * inv_ds *
|
||||
(-Scalar(20.0) * vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z] +
|
||||
Scalar(15.0) * (vertex[vertexIdx.x + 1, vertexIdx.y, vertexIdx.z] +
|
||||
vertex[vertexIdx.x - 1, vertexIdx.y, vertexIdx.z]) -
|
||||
Scalar(6.0) * (vertex[vertexIdx.x + 2, vertexIdx.y, vertexIdx.z] +
|
||||
vertex[vertexIdx.x - 2, vertexIdx.y, vertexIdx.z]) +
|
||||
vertex[vertexIdx.x + 3, vertexIdx.y, vertexIdx.z] +
|
||||
vertex[vertexIdx.x - 3, vertexIdx.y, vertexIdx.z])};
|
||||
}
|
||||
|
||||
Preprocessed Scalar
|
||||
der6y_upwd(in ScalarField vertex)
|
||||
{
|
||||
Scalar inv_ds = AC_inv_dsy;
|
||||
|
||||
return (Scalar){Scalar(1.0 / 60.0) * inv_ds *
|
||||
(-Scalar(20.0) * vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z] +
|
||||
Scalar(15.0) * (vertex[vertexIdx.x, vertexIdx.y + 1, vertexIdx.z] +
|
||||
vertex[vertexIdx.x, vertexIdx.y - 1, vertexIdx.z]) -
|
||||
Scalar(6.0) * (vertex[vertexIdx.x, vertexIdx.y + 2, vertexIdx.z] +
|
||||
vertex[vertexIdx.x, vertexIdx.y - 2, vertexIdx.z]) +
|
||||
vertex[vertexIdx.x, vertexIdx.y + 3, vertexIdx.z] +
|
||||
vertex[vertexIdx.x, vertexIdx.y - 3, vertexIdx.z])};
|
||||
}
|
||||
|
||||
Preprocessed Scalar
|
||||
der6z_upwd(in ScalarField vertex)
|
||||
{
|
||||
Scalar inv_ds = AC_inv_dsz;
|
||||
|
||||
return (Scalar){Scalar(1.0 / 60.0) * inv_ds *
|
||||
(-Scalar(20.0) * vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z] +
|
||||
Scalar(15.0) * (vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z + 1] +
|
||||
vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z - 1]) -
|
||||
Scalar(6.0) * (vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z + 2] +
|
||||
vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z - 2]) +
|
||||
vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z + 3] +
|
||||
vertex[vertexIdx.x, vertexIdx.y, vertexIdx.z - 3])};
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
Preprocessed Matrix
|
||||
hessian(in ScalarField vertex)
|
||||
{
|
||||
Matrix hessian;
|
||||
|
||||
hessian.row[0] = (Vector){derxx(vertexIdx, vertex), derxy(vertexIdx, vertex),
|
||||
derxz(vertexIdx, vertex)};
|
||||
hessian.row[1] = (Vector){hessian.row[0].y, deryy(vertexIdx, vertex), deryz(vertexIdx, vertex)};
|
||||
hessian.row[2] = (Vector){hessian.row[0].z, hessian.row[1].z, derzz(vertexIdx, vertex)};
|
||||
|
||||
return hessian;
|
||||
}
|
159
acc/pc_mhd_solver/stencil_definition.sdh
Normal file
159
acc/pc_mhd_solver/stencil_definition.sdh
Normal file
@@ -0,0 +1,159 @@
|
||||
#define LDENSITY (1)
|
||||
#define LHYDRO (1)
|
||||
#define LMAGNETIC (1)
|
||||
#define LENTROPY (1)
|
||||
#define LTEMPERATURE (0)
|
||||
#define LFORCING (1)
|
||||
#define LUPWD (1)
|
||||
|
||||
#define AC_THERMAL_CONDUCTIVITY (AcReal(0.001)) // TODO: make an actual config parameter
|
||||
|
||||
// Int params
|
||||
uniform int AC_max_steps;
|
||||
uniform int AC_save_steps;
|
||||
uniform int AC_bin_steps;
|
||||
uniform int AC_bc_type;
|
||||
|
||||
// Real params
|
||||
uniform Scalar AC_dt;
|
||||
// Spacing
|
||||
uniform Scalar AC_dsx;
|
||||
uniform Scalar AC_dsy;
|
||||
uniform Scalar AC_dsz;
|
||||
uniform Scalar AC_dsmin;
|
||||
// physical grid
|
||||
uniform Scalar AC_xlen;
|
||||
uniform Scalar AC_ylen;
|
||||
uniform Scalar AC_zlen;
|
||||
uniform Scalar AC_xorig;
|
||||
uniform Scalar AC_yorig;
|
||||
uniform Scalar AC_zorig;
|
||||
// Physical units
|
||||
uniform Scalar AC_unit_density;
|
||||
uniform Scalar AC_unit_velocity;
|
||||
uniform Scalar AC_unit_length;
|
||||
// properties of gravitating star
|
||||
uniform Scalar AC_star_pos_x;
|
||||
uniform Scalar AC_star_pos_y;
|
||||
uniform Scalar AC_star_pos_z;
|
||||
uniform Scalar AC_M_star;
|
||||
// Run params
|
||||
uniform Scalar AC_cdt;
|
||||
uniform Scalar AC_cdtv;
|
||||
uniform Scalar AC_cdts;
|
||||
uniform Scalar AC_nu_visc;
|
||||
uniform Scalar AC_cs_sound;
|
||||
uniform Scalar AC_eta;
|
||||
uniform Scalar AC_mu0;
|
||||
uniform Scalar AC_cp_sound;
|
||||
uniform Scalar AC_gamma;
|
||||
uniform Scalar AC_cv_sound;
|
||||
uniform Scalar AC_lnT0;
|
||||
uniform Scalar AC_lnrho0;
|
||||
uniform Scalar AC_zeta;
|
||||
uniform Scalar AC_trans;
|
||||
// Other
|
||||
uniform Scalar AC_bin_save_t;
|
||||
// Initial condition params
|
||||
uniform Scalar AC_ampl_lnrho;
|
||||
uniform Scalar AC_ampl_uu;
|
||||
uniform Scalar AC_angl_uu;
|
||||
uniform Scalar AC_lnrho_edge;
|
||||
uniform Scalar AC_lnrho_out;
|
||||
// Forcing parameters. User configured.
|
||||
uniform Scalar AC_forcing_magnitude;
|
||||
uniform Scalar AC_relhel;
|
||||
uniform Scalar AC_kmin;
|
||||
uniform Scalar AC_kmax;
|
||||
// Forcing parameters. Set by the generator.
|
||||
uniform Scalar AC_forcing_phase;
|
||||
uniform Scalar AC_k_forcex;
|
||||
uniform Scalar AC_k_forcey;
|
||||
uniform Scalar AC_k_forcez;
|
||||
uniform Scalar AC_kaver;
|
||||
uniform Scalar AC_ff_hel_rex;
|
||||
uniform Scalar AC_ff_hel_rey;
|
||||
uniform Scalar AC_ff_hel_rez;
|
||||
uniform Scalar AC_ff_hel_imx;
|
||||
uniform Scalar AC_ff_hel_imy;
|
||||
uniform Scalar AC_ff_hel_imz;
|
||||
// Additional helper params // (deduced from other params do not set these directly!)
|
||||
uniform Scalar AC_G_CONST;
|
||||
uniform Scalar AC_GM_star;
|
||||
uniform Scalar AC_sq2GM_star;
|
||||
uniform Scalar AC_cs2_sound;
|
||||
uniform Scalar AC_inv_dsx;
|
||||
uniform Scalar AC_inv_dsy;
|
||||
uniform Scalar AC_inv_dsz;
|
||||
|
||||
// PC-style helical forcing with profiles
|
||||
uniform Vector AC_kk;
|
||||
uniform Vector AC_coef1;
|
||||
uniform Vector AC_coef2;
|
||||
uniform Vector AC_coef3;
|
||||
uniform Vector AC_fda;
|
||||
|
||||
uniform Scalar AC_phase;
|
||||
uniform Scalar AC_fact;
|
||||
uniform Scalar AC_k1_ff;
|
||||
|
||||
uniform ScalarArray AC_profx;
|
||||
uniform ScalarArray AC_profy;
|
||||
uniform ScalarArray AC_profz;
|
||||
uniform ScalarArray AC_profx_hel;
|
||||
uniform ScalarArray AC_profy_hel;
|
||||
uniform ScalarArray AC_profz_hel;
|
||||
|
||||
uniform int AC_iforcing_zsym;
|
||||
|
||||
uniform ScalarArray AC_0;
|
||||
uniform ScalarArray AC_1;
|
||||
uniform ScalarArray AC_2;
|
||||
uniform ScalarArray AC_3;
|
||||
uniform ScalarArray AC_4;
|
||||
uniform ScalarArray AC_5;
|
||||
uniform ScalarArray AC_6;
|
||||
uniform ScalarArray AC_7;
|
||||
uniform ScalarArray AC_8;
|
||||
uniform ScalarArray AC_9;
|
||||
uniform ScalarArray AC_10;
|
||||
uniform ScalarArray AC_11;
|
||||
uniform ScalarArray AC_12;
|
||||
uniform ScalarArray AC_13;
|
||||
uniform ScalarArray AC_14;
|
||||
uniform ScalarArray AC_15;
|
||||
uniform ScalarArray AC_16;
|
||||
uniform ScalarArray AC_17;
|
||||
uniform ScalarArray AC_18;
|
||||
uniform ScalarArray AC_19;
|
||||
|
||||
/*
|
||||
* =============================================================================
|
||||
* User-defined vertex buffers
|
||||
* =============================================================================
|
||||
*/
|
||||
#if LENTROPY
|
||||
uniform ScalarField VTXBUF_LNRHO;
|
||||
uniform ScalarField VTXBUF_UUX;
|
||||
uniform ScalarField VTXBUF_UUY;
|
||||
uniform ScalarField VTXBUF_UUZ;
|
||||
uniform ScalarField VTXBUF_AX;
|
||||
uniform ScalarField VTXBUF_AY;
|
||||
uniform ScalarField VTXBUF_AZ;
|
||||
uniform ScalarField VTXBUF_ENTROPY;
|
||||
#elif LMAGNETIC
|
||||
uniform ScalarField VTXBUF_LNRHO;
|
||||
uniform ScalarField VTXBUF_UUX;
|
||||
uniform ScalarField VTXBUF_UUY;
|
||||
uniform ScalarField VTXBUF_UUZ;
|
||||
uniform ScalarField VTXBUF_AX;
|
||||
uniform ScalarField VTXBUF_AY;
|
||||
uniform ScalarField VTXBUF_AZ;
|
||||
#elif LHYDRO
|
||||
uniform ScalarField VTXBUF_LNRHO;
|
||||
uniform ScalarField VTXBUF_UUX;
|
||||
uniform ScalarField VTXBUF_UUY;
|
||||
uniform ScalarField VTXBUF_UUZ;
|
||||
#else
|
||||
uniform ScalarField VTXBUF_LNRHO;
|
||||
#endif
|
358
acc/pc_mhd_solver/stencil_process.sps
Normal file
358
acc/pc_mhd_solver/stencil_process.sps
Normal file
@@ -0,0 +1,358 @@
|
||||
#include "stencil_definition.sdh"
|
||||
|
||||
Vector
|
||||
value(in VectorField uu)
|
||||
{
|
||||
return (Vector){value(uu.x), value(uu.y), value(uu.z)};
|
||||
}
|
||||
|
||||
#if LUPWD
|
||||
Scalar
|
||||
upwd_der6(in VectorField uu, in ScalarField lnrho)
|
||||
{
|
||||
Scalar uux = fabs(value(uu).x);
|
||||
Scalar uuy = fabs(value(uu).y);
|
||||
Scalar uuz = fabs(value(uu).z);
|
||||
return (Scalar){uux * der6x_upwd(lnrho) + uuy * der6y_upwd(lnrho) + uuz * der6z_upwd(lnrho)};
|
||||
}
|
||||
#endif
|
||||
|
||||
Matrix
|
||||
gradients(in VectorField uu)
|
||||
{
|
||||
return (Matrix){gradient(uu.x), gradient(uu.y), gradient(uu.z)};
|
||||
}
|
||||
|
||||
Scalar
|
||||
continuity(in VectorField uu, in ScalarField lnrho)
|
||||
{
|
||||
return -dot(value(uu), gradient(lnrho))
|
||||
#if LUPWD
|
||||
// This is a corrective hyperdiffusion term for upwinding.
|
||||
+ upwd_der6(uu, lnrho)
|
||||
#endif
|
||||
- divergence(uu);
|
||||
}
|
||||
|
||||
#if LENTROPY
|
||||
Vector
|
||||
momentum(in VectorField uu, in ScalarField lnrho, in ScalarField ss, in VectorField aa)
|
||||
{
|
||||
const Matrix S = stress_tensor(uu);
|
||||
const Scalar cs2 = AC_cs2_sound * exp(AC_gamma * value(ss) / AC_cp_sound +
|
||||
(AC_gamma - 1) * (value(lnrho) - AC_lnrho0));
|
||||
const Vector j = (Scalar(1.) / AC_mu0) *
|
||||
(gradient_of_divergence(aa) - laplace_vec(aa)); // Current density
|
||||
const Vector B = curl(aa);
|
||||
// TODO: DOES INTHERMAL VERSTION INCLUDE THE MAGNETIC FIELD?
|
||||
const Scalar inv_rho = Scalar(1.) / exp(value(lnrho));
|
||||
|
||||
// Regex replace CPU constants with get\(AC_([a-zA-Z_0-9]*)\)
|
||||
// \1
|
||||
const Vector mom = -mul(gradients(uu), value(uu)) -
|
||||
cs2 * ((Scalar(1.) / AC_cp_sound) * gradient(ss) + gradient(lnrho)) +
|
||||
inv_rho * cross(j, B) +
|
||||
AC_nu_visc *
|
||||
(laplace_vec(uu) + Scalar(1. / 3.) * gradient_of_divergence(uu) +
|
||||
Scalar(2.) * mul(S, gradient(lnrho))) +
|
||||
AC_zeta * gradient_of_divergence(uu);
|
||||
return mom;
|
||||
}
|
||||
#elif LTEMPERATURE
|
||||
Vector
|
||||
momentum(in VectorField uu, in ScalarField lnrho, in ScalarField tt)
|
||||
{
|
||||
Vector mom;
|
||||
|
||||
const Matrix S = stress_tensor(uu);
|
||||
|
||||
const Vector pressure_term = (AC_cp_sound - AC_cv_sound) *
|
||||
(gradient(tt) + value(tt) * gradient(lnrho));
|
||||
|
||||
mom = -mul(gradients(uu), value(uu)) - pressure_term +
|
||||
AC_nu_visc * (laplace_vec(uu) + Scalar(1. / 3.) * gradient_of_divergence(uu) +
|
||||
Scalar(2.) * mul(S, gradient(lnrho))) +
|
||||
AC_zeta * gradient_of_divergence(uu);
|
||||
|
||||
#if LGRAVITY
|
||||
mom = mom - (Vector){0, 0, -10.0};
|
||||
#endif
|
||||
|
||||
return mom;
|
||||
}
|
||||
#else
|
||||
Vector
|
||||
momentum(in VectorField uu, in ScalarField lnrho)
|
||||
{
|
||||
Vector mom;
|
||||
|
||||
const Matrix S = stress_tensor(uu);
|
||||
|
||||
// Isothermal: we have constant speed of sound
|
||||
|
||||
mom = -mul(gradients(uu), value(uu)) - AC_cs2_sound * gradient(lnrho) +
|
||||
AC_nu_visc * (laplace_vec(uu) + Scalar(1. / 3.) * gradient_of_divergence(uu) +
|
||||
Scalar(2.) * mul(S, gradient(lnrho))) +
|
||||
AC_zeta * gradient_of_divergence(uu);
|
||||
|
||||
#if LGRAVITY
|
||||
mom = mom - (Vector){0, 0, -10.0};
|
||||
#endif
|
||||
|
||||
return mom;
|
||||
}
|
||||
#endif
|
||||
|
||||
Vector
|
||||
induction(in VectorField uu, in VectorField aa)
|
||||
{
|
||||
// Note: We do (-nabla^2 A + nabla(nabla dot A)) instead of (nabla x (nabla
|
||||
// x A)) in order to avoid taking the first derivative twice (did the math,
|
||||
// yes this actually works. See pg.28 in arXiv:astro-ph/0109497)
|
||||
// u cross B - AC_eta * AC_mu0 * (AC_mu0^-1 * [- laplace A + grad div A ])
|
||||
const Vector B = curl(aa);
|
||||
const Vector grad_div = gradient_of_divergence(aa);
|
||||
const Vector lap = laplace_vec(aa);
|
||||
|
||||
// Note, AC_mu0 is cancelled out
|
||||
const Vector ind = cross(value(uu), B) - AC_eta * (grad_div - lap);
|
||||
|
||||
return ind;
|
||||
}
|
||||
|
||||
#if LENTROPY
|
||||
Scalar
|
||||
lnT(in ScalarField ss, in ScalarField lnrho)
|
||||
{
|
||||
const Scalar lnT = AC_lnT0 + AC_gamma * value(ss) / AC_cp_sound +
|
||||
(AC_gamma - Scalar(1.)) * (value(lnrho) - AC_lnrho0);
|
||||
return lnT;
|
||||
}
|
||||
|
||||
// Nabla dot (K nabla T) / (rho T)
|
||||
Scalar
|
||||
heat_conduction(in ScalarField ss, in ScalarField lnrho)
|
||||
{
|
||||
const Scalar inv_AC_cp_sound = AcReal(1.) / AC_cp_sound;
|
||||
|
||||
const Vector grad_ln_chi = -gradient(lnrho);
|
||||
|
||||
const Scalar first_term = AC_gamma * inv_AC_cp_sound * laplace(ss) +
|
||||
(AC_gamma - AcReal(1.)) * laplace(lnrho);
|
||||
const Vector second_term = AC_gamma * inv_AC_cp_sound * gradient(ss) +
|
||||
(AC_gamma - AcReal(1.)) * gradient(lnrho);
|
||||
const Vector third_term = AC_gamma * (inv_AC_cp_sound * gradient(ss) + gradient(lnrho)) +
|
||||
grad_ln_chi;
|
||||
|
||||
const Scalar chi = AC_THERMAL_CONDUCTIVITY / (exp(value(lnrho)) * AC_cp_sound);
|
||||
return AC_cp_sound * chi * (first_term + dot(second_term, third_term));
|
||||
}
|
||||
|
||||
Scalar
|
||||
heating(const int i, const int j, const int k)
|
||||
{
|
||||
return 1;
|
||||
}
|
||||
|
||||
Scalar
|
||||
entropy(in ScalarField ss, in VectorField uu, in ScalarField lnrho, in VectorField aa)
|
||||
{
|
||||
const Matrix S = stress_tensor(uu);
|
||||
const Scalar inv_pT = Scalar(1.) / (exp(value(lnrho)) * exp(lnT(ss, lnrho)));
|
||||
const Vector j = (Scalar(1.) / AC_mu0) *
|
||||
(gradient_of_divergence(aa) - laplace_vec(aa)); // Current density
|
||||
const Scalar RHS = H_CONST - C_CONST + AC_eta * (AC_mu0)*dot(j, j) +
|
||||
Scalar(2.) * exp(value(lnrho)) * AC_nu_visc * contract(S) +
|
||||
AC_zeta * exp(value(lnrho)) * divergence(uu) * divergence(uu);
|
||||
|
||||
return -dot(value(uu), gradient(ss)) + inv_pT * RHS + heat_conduction(ss, lnrho);
|
||||
}
|
||||
#endif
|
||||
|
||||
#if LTEMPERATURE
|
||||
Scalar
|
||||
heat_transfer(in VectorField uu, in ScalarField lnrho, in ScalarField tt)
|
||||
{
|
||||
const Matrix S = stress_tensor(uu);
|
||||
const Scalar heat_diffusivity_k = 0.0008; // 8e-4;
|
||||
return -dot(value(uu), gradient(tt)) + heat_diffusivity_k * laplace(tt) +
|
||||
heat_diffusivity_k * dot(gradient(lnrho), gradient(tt)) +
|
||||
AC_nu_visc * contract(S) * (Scalar(1.) / AC_cv_sound) -
|
||||
(AC_gamma - 1) * value(tt) * divergence(uu);
|
||||
}
|
||||
#endif
|
||||
|
||||
#if LFORCING
|
||||
Vector
|
||||
simple_vortex_forcing(Vector a, Vector b, Scalar magnitude)
|
||||
{
|
||||
return magnitude * cross(normalized(b - a), (Vector){0, 0, 1}); // Vortex
|
||||
}
|
||||
|
||||
Vector
|
||||
simple_outward_flow_forcing(Vector a, Vector b, Scalar magnitude)
|
||||
{
|
||||
return magnitude * (1 / length(b - a)) * normalized(b - a); // Outward flow
|
||||
}
|
||||
|
||||
// The Pencil Code forcing_hel_noshear(), manual Eq. 222, inspired forcing function with adjustable
|
||||
// helicity
|
||||
Vector
|
||||
helical_forcing(Scalar magnitude, Vector k_force, Vector xx, Vector ff_re, Vector ff_im, Scalar phi)
|
||||
{
|
||||
// JP: This looks wrong:
|
||||
// 1) Should it be AC_dsx * AC_nx instead of AC_dsx * AC_ny?
|
||||
// 2) Should you also use globalGrid.n instead of the local n?
|
||||
// MV: You are rigth. Made a quickfix. I did not see the error because multigpu is split
|
||||
// in z direction not y direction.
|
||||
// 3) Also final point: can we do this with vectors/quaternions instead?
|
||||
// Tringonometric functions are much more expensive and inaccurate/
|
||||
// MV: Good idea. No an immediate priority.
|
||||
// Fun related article:
|
||||
// https://randomascii.wordpress.com/2014/10/09/intel-underestimates-error-bounds-by-1-3-quintillion/
|
||||
xx.x = xx.x * (2.0 * M_PI / (AC_dsx * globalGridN.x));
|
||||
xx.y = xx.y * (2.0 * M_PI / (AC_dsy * globalGridN.y));
|
||||
xx.z = xx.z * (2.0 * M_PI / (AC_dsz * globalGridN.z));
|
||||
|
||||
Scalar cos_phi = cos(phi);
|
||||
Scalar sin_phi = sin(phi);
|
||||
Scalar cos_k_dot_x = cos(dot(k_force, xx));
|
||||
Scalar sin_k_dot_x = sin(dot(k_force, xx));
|
||||
// Phase affect only the x-component
|
||||
// Scalar real_comp = cos_k_dot_x;
|
||||
// Scalar imag_comp = sin_k_dot_x;
|
||||
Scalar real_comp_phase = cos_k_dot_x * cos_phi - sin_k_dot_x * sin_phi;
|
||||
Scalar imag_comp_phase = cos_k_dot_x * sin_phi + sin_k_dot_x * cos_phi;
|
||||
|
||||
Vector force = (Vector){ff_re.x * real_comp_phase - ff_im.x * imag_comp_phase,
|
||||
ff_re.y * real_comp_phase - ff_im.y * imag_comp_phase,
|
||||
ff_re.z * real_comp_phase - ff_im.z * imag_comp_phase};
|
||||
|
||||
return force;
|
||||
}
|
||||
|
||||
Vector
|
||||
forcing_OLD(int3 globalVertexIdx, Scalar dt)
|
||||
{
|
||||
Vector a = Scalar(.5) * (Vector){globalGridN.x * AC_dsx, globalGridN.y * AC_dsy,
|
||||
globalGridN.z * AC_dsz}; // source (origin)
|
||||
Vector xx = (Vector){(globalVertexIdx.x - DCONST(AC_nx_min)) * AC_dsx,
|
||||
(globalVertexIdx.y - DCONST(AC_ny_min)) * AC_dsy,
|
||||
(globalVertexIdx.z - DCONST(AC_nz_min)) * AC_dsz}; // sink (current index)
|
||||
const Scalar cs2 = AC_cs2_sound;
|
||||
const Scalar cs = sqrt(cs2);
|
||||
|
||||
// Placeholders until determined properly
|
||||
Scalar magnitude = AC_forcing_magnitude;
|
||||
Scalar phase = AC_forcing_phase;
|
||||
Vector k_force = (Vector){AC_k_forcex, AC_k_forcey, AC_k_forcez};
|
||||
Vector ff_re = (Vector){AC_ff_hel_rex, AC_ff_hel_rey, AC_ff_hel_rez};
|
||||
Vector ff_im = (Vector){AC_ff_hel_imx, AC_ff_hel_imy, AC_ff_hel_imz};
|
||||
|
||||
// Determine that forcing funtion type at this point.
|
||||
// Vector force = simple_vortex_forcing(a, xx, magnitude);
|
||||
// Vector force = simple_outward_flow_forcing(a, xx, magnitude);
|
||||
Vector force = helical_forcing(magnitude, k_force, xx, ff_re, ff_im, phase);
|
||||
|
||||
// Scaling N = magnitude*cs*sqrt(k*cs/dt) * dt
|
||||
const Scalar NN = cs * sqrt(AC_kaver * cs);
|
||||
// MV: Like in the Pencil Code. I don't understandf the logic here.
|
||||
force.x = sqrt(dt) * NN * force.x;
|
||||
force.y = sqrt(dt) * NN * force.y;
|
||||
force.z = sqrt(dt) * NN * force.z;
|
||||
|
||||
if (is_valid(force)) {
|
||||
return force;
|
||||
}
|
||||
else {
|
||||
return (Vector){0, 0, 0};
|
||||
}
|
||||
}
|
||||
|
||||
// PC-style helical forcing with support for profiles
|
||||
Vector
|
||||
forcing(int3 vertexIdx, int3 globalVertexIdx, Scalar dt, ScalarArray profx, ScalarArray profy,
|
||||
ScalarArray profz, ScalarArray profx_hel, ScalarArray profy_hel, ScalarArray profz_hel)
|
||||
{
|
||||
Vector pos = (Vector){(globalVertexIdx.x - DCONST(AC_nx_min)) * AC_dsx,
|
||||
(globalVertexIdx.y - DCONST(AC_ny_min)) * AC_dsy,
|
||||
(globalVertexIdx.z - DCONST(AC_nz_min)) * AC_dsz};
|
||||
|
||||
Complex fx = AC_fact * exp(Complex(0, AC_kk.x * AC_k1_ff * pos.z + AC_phase));
|
||||
Complex fy = exp(Complex(0, AC_kk.y * AC_k1_ff * pos.y));
|
||||
|
||||
Complex fz;
|
||||
if (AC_iforcing_zsym == 0) {
|
||||
fz = exp(Complex(0., AC_kk.z * AC_k1_ff * pos.z));
|
||||
}
|
||||
else if (AC_iforcing_zsym == 1) {
|
||||
fz = Complex(cos(AC_kk.z * AC_k1_ff * pos.z), 0);
|
||||
}
|
||||
else if (AC_iforcing_zsym == -1) {
|
||||
fz = Complex(sin(AC_kk.z * AC_k1_ff * pos.z), 0);
|
||||
}
|
||||
else {
|
||||
// Failure
|
||||
}
|
||||
|
||||
Complex fxyz = fx * fy * fz;
|
||||
|
||||
// TODO recheck indices
|
||||
Scalar force_ampl = profx[vertexIdx.x - NGHOST] * profy[vertexIdx.y] * profz[vertexIdx.z];
|
||||
Scalar prof_hel_ampl = profx_hel[vertexIdx.x - NGHOST] * profy_hel[vertexIdx.y] *
|
||||
profz_hel[vertexIdx.z];
|
||||
|
||||
return force_ampl * AC_fda * (Complex(AC_coef1.x, prof_hel_ampl * AC_coef2.x) * fxyz).x;
|
||||
}
|
||||
#endif // LFORCING
|
||||
|
||||
// Declare input and output arrays using locations specified in the
|
||||
// array enum in astaroth.h
|
||||
in ScalarField lnrho(VTXBUF_LNRHO);
|
||||
out ScalarField out_lnrho(VTXBUF_LNRHO);
|
||||
|
||||
in VectorField uu(VTXBUF_UUX, VTXBUF_UUY, VTXBUF_UUZ);
|
||||
out VectorField out_uu(VTXBUF_UUX, VTXBUF_UUY, VTXBUF_UUZ);
|
||||
|
||||
#if LMAGNETIC
|
||||
in VectorField aa(VTXBUF_AX, VTXBUF_AY, VTXBUF_AZ);
|
||||
out VectorField out_aa(VTXBUF_AX, VTXBUF_AY, VTXBUF_AZ);
|
||||
#endif
|
||||
|
||||
#if LENTROPY
|
||||
in ScalarField ss(VTXBUF_ENTROPY);
|
||||
out ScalarField out_ss(VTXBUF_ENTROPY);
|
||||
#endif
|
||||
|
||||
#if LTEMPERATURE
|
||||
in ScalarField tt(VTXBUF_TEMPERATURE);
|
||||
out ScalarField out_tt(VTXBUF_TEMPERATURE);
|
||||
#endif
|
||||
|
||||
Kernel void
|
||||
solve()
|
||||
{
|
||||
Scalar dt = AC_dt;
|
||||
out_lnrho = rk3(out_lnrho, lnrho, continuity(uu, lnrho), dt);
|
||||
|
||||
#if LMAGNETIC
|
||||
out_aa = rk3(out_aa, aa, induction(uu, aa), dt);
|
||||
#endif
|
||||
|
||||
#if LENTROPY
|
||||
out_uu = rk3(out_uu, uu, momentum(uu, lnrho, ss, aa), dt);
|
||||
out_ss = rk3(out_ss, ss, entropy(ss, uu, lnrho, aa), dt);
|
||||
#elif LTEMPERATURE
|
||||
out_uu = rk3(out_uu, uu, momentum(uu, lnrho, tt), dt);
|
||||
out_tt = rk3(out_tt, tt, heat_transfer(uu, lnrho, tt), dt);
|
||||
#else
|
||||
out_uu = rk3(out_uu, uu, momentum(uu, lnrho), dt);
|
||||
#endif
|
||||
|
||||
#if LFORCING
|
||||
if (step_number == 2) {
|
||||
out_uu = out_uu + forcing(vertexIdx, globalVertexIdx, dt, AC_profx, AC_profy, AC_profz,
|
||||
AC_profx_hel, AC_profy_hel, AC_profz_hel);
|
||||
}
|
||||
#endif
|
||||
}
|
Reference in New Issue
Block a user