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108 lines
3.1 KiB
Common Lisp
108 lines
3.1 KiB
Common Lisp
/*
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* Update E-field, including any PMLs.
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*
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* Template parameters:
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* common_header: Rendered contents of common.cl
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* pmls: [{'axis': 'x', 'polarity': 'n', 'thickness': 8}, ...] list of pml dicts containing
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* axes, polarities, and thicknesses.
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* uniform_dx: If grid is uniform, uniform_dx should be the grid spacing.
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* Otherwise, uniform_dx should be False and [inv_dh{xyz}] arrays must be supplied as
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* OpenCL args.
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*
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* OpenCL args:
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* E, H, dt, eps, [p{012}e{np}, Psi_{xyz}{np}_E], [inv_dh{xyz}]
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*/
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{{common_header}}
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////////////////////////////////////////////////////////////////////////////
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__global ftype *epsx = eps + XX;
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__global ftype *epsy = eps + YY;
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__global ftype *epsz = eps + ZZ;
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{%- if uniform_dx %}
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ftype inv_dx = 1.0 / {{uniform_dx}};
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ftype inv_dy = 1.0 / {{uniform_dx}};
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ftype inv_dz = 1.0 / {{uniform_dx}};
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{%- else %}
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ftype inv_dx = inv_dhx[x];
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ftype inv_dy = inv_dhy[y];
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ftype inv_dz = inv_dhz[z];
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{%- endif %}
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/*
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* Precalculate derivatives
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*/
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ftype dHxy = (Hx[i] - Hx[i + my]) * inv_dy;
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ftype dHxz = (Hx[i] - Hx[i + mz]) * inv_dz;
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ftype dHyx = (Hy[i] - Hy[i + mx]) * inv_dx;
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ftype dHyz = (Hy[i] - Hy[i + mz]) * inv_dz;
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ftype dHzx = (Hz[i] - Hz[i + mx]) * inv_dx;
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ftype dHzy = (Hz[i] - Hz[i + my]) * inv_dy;
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{% for bloch in bloch_boundaries -%}
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{%- set r = bloch['axis'] -%}
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{%- set u, v = ['x', 'y', 'z'] | reject('equalto', r) -%}
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if ({{r}} == 0) {
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ftype bloch_im = {{bloch['real']}};
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ftype bloch_re = {{bloch['imag']}};
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dH{{u ~ r}} = bloch_re * dH{{v ~ r}} + bloch_im * (G{{u}}[i] - G{{u}}[i + m{{u}}]);
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dH{{v ~ r}} = bloch_re * dH{{v ~ r}} + bloch_im * (G{{v}}[i] - G{{v}}[i + m{{v}}]);
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}
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{%- endfor %}
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/*
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* PML Update
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*/
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// PML effects on E
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ftype pExi = 0;
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ftype pEyi = 0;
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ftype pEzi = 0;
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{% for pml in pmls -%}
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{%- set r = pml['axis'] -%}
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{%- set p = pml['polarity'] -%}
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{%- set u, v = ['x', 'y', 'z'] | reject('equalto', r) -%}
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{%- set psi = 'Psi_' ~ r ~ p ~ '_E' -%}
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{%- if r != 'y' -%}
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{%- set se, sh = '-', '+' -%}
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{%- else -%}
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{%- set se, sh = '+', '-' -%}
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{%- endif -%}
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int pml_{{r ~ p}}_thickness = {{pml['thickness']}};
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{%- if p == 'n' %}
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if ( {{r}} < pml_{{r ~ p}}_thickness ) {
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const size_t ir = {{r}}; // index into pml parameters
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{%- elif p == 'p' %}
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if ( s{{r}} > {{r}} && {{r}} >= s{{r}} - pml_{{r ~ p}}_thickness ) {
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const size_t ir = (s{{r}} - 1) - {{r}}; // index into pml parameters
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{%- endif %}
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const size_t ip = {{v}} + {{u}} * s{{v}} + ir * s{{v}} * s{{u}}; // linear index into Psi
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dH{{v ~ r}} *= p{{r}}2e{{p}}[ir];
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dH{{u ~ r}} *= p{{r}}2e{{p}}[ir];
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{{psi ~ u}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ u}}[ip] + p{{r}}1e{{p}}[ir] * dH{{v ~ r}};
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{{psi ~ v}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ v}}[ip] + p{{r}}1e{{p}}[ir] * dH{{u ~ r}};
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pE{{u}}i {{se}}= {{psi ~ u}}[ip];
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pE{{v}}i {{sh}}= {{psi ~ v}}[ip];
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}
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{%- endfor %}
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/*
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* Update E
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*/
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Ex[i] += dt / epsx[i] * (dHzy - dHyz + pExi);
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Ey[i] += dt / epsy[i] * (dHxz - dHzx + pEyi);
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Ez[i] += dt / epsz[i] * (dHyx - dHxy + pEzi);
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