Gets limited slopes for the primitive variables in the 1-D direction.
265 mooseAssert(x_neighbor.size() == W_neighbor.size(),
266 "Neighbor positions size must equal neighbor solutions size.");
268 using std::abs, std::min, std::max;
271 const unsigned int n_slopes = W_elem.size();
274 std::vector<std::vector<GenericReal<is_ad>>> slopes_one_sided;
275 for (
unsigned int i = 0; i < W_neighbor.size(); i++)
277 const Real dx = (x_elem - x_neighbor[i]) * dir;
279 std::vector<GenericReal<is_ad>> slopes(n_slopes, 0.0);
280 for (
unsigned int m = 0; m < n_slopes; m++)
281 slopes[m] = (W_elem[m] - W_neighbor[i][m]) / dx;
283 slopes_one_sided.push_back(slopes);
287 std::vector<GenericReal<is_ad>> slopes_central(n_slopes, 0.0);
288 if (W_neighbor.size() == 2)
290 const Real dx = (x_neighbor[0] - x_neighbor[1]) * dir;
291 for (
unsigned int m = 0; m < n_slopes; m++)
292 slopes_central[m] = (W_neighbor[0][m] - W_neighbor[1][m]) / dx;
294 else if (W_neighbor.size() == 1)
296 slopes_one_sided.push_back(slopes_one_sided[0]);
297 slopes_central = slopes_one_sided[0];
301 slopes_one_sided.push_back(slopes_central);
302 slopes_one_sided.push_back(slopes_central);
306 std::vector<GenericReal<is_ad>> slopes_limited(n_slopes, 0.0);
318 slopes_limited = slopes_central;
324 for (
unsigned int m = 0; m < n_slopes; m++)
326 if ((slopes_one_sided[0][m] * slopes_one_sided[1][m]) > 0.0)
328 if (
abs(slopes_one_sided[0][m]) <
abs(slopes_one_sided[1][m]))
329 slopes_limited[m] = slopes_one_sided[0][m];
331 slopes_limited[m] = slopes_one_sided[1][m];
339 for (
unsigned int m = 0; m < n_slopes; m++)
341 if (slopes_central[m] > 0.0 && slopes_one_sided[0][m] > 0.0 && slopes_one_sided[1][m] > 0.0)
343 min(slopes_central[m], 2.0 *
min(slopes_one_sided[0][m], slopes_one_sided[1][m]));
344 else if (slopes_central[m] < 0.0 && slopes_one_sided[0][m] < 0.0 &&
345 slopes_one_sided[1][m] < 0.0)
347 max(slopes_central[m], 2.0 *
max(slopes_one_sided[0][m], slopes_one_sided[1][m]));
354 for (
unsigned int m = 0; m < n_slopes; m++)
360 if (slopes_one_sided[1][m] > 0.0 && slopes_one_sided[0][m] > 0.0)
361 slope1 =
min(slopes_one_sided[1][m], 2.0 * slopes_one_sided[0][m]);
362 else if (slopes_one_sided[1][m] < 0.0 && slopes_one_sided[0][m] < 0.0)
363 slope1 =
max(slopes_one_sided[1][m], 2.0 * slopes_one_sided[0][m]);
366 if (slopes_one_sided[1][m] > 0.0 && slopes_one_sided[0][m] > 0.0)
367 slope2 =
min(2.0 * slopes_one_sided[1][m], slopes_one_sided[0][m]);
368 else if (slopes_one_sided[1][m] < 0.0 && slopes_one_sided[0][m] < 0.0)
369 slope2 =
max(2.0 * slopes_one_sided[1][m], slopes_one_sided[0][m]);
372 if (slope1 > 0.0 && slope2 > 0.0)
373 slopes_limited[m] =
max(slope1, slope2);
374 else if (slope1 < 0.0 && slope2 < 0.0)
375 slopes_limited[m] =
min(slope1, slope2);
380 mooseError(
"Unknown slope reconstruction scheme");
383 return slopes_limited;
MetaPhysicL::DualNumber< V, D, asd > abs(const MetaPhysicL::DualNumber< V, D, asd > &a)
Moose::GenericType< Real, is_ad > GenericReal
Monotonized Central-Difference slope limiter.
void mooseError(Args &&... args)
Full reconstruction; no limitation.
auto max(const L &left, const R &right)
const ESlopeReconstructionType _scheme
Slope reconstruction scheme.
No reconstruction; Godunov scheme.
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
auto min(const L &left, const R &right)