FieldTracer.bilin_regMethod
bilin_reg(x, y, Q00, Q01, Q10, Q11)

Bilinear interpolation for x1,y1=(0,0) and x2,y2=(1,1) Q's are surrounding points such that Q00 = F[0,0], Q10 = F[1,0], etc.

FieldTracer.eulerMethod
euler(maxstep, ds, startx, starty, xGrid, yGrid, ux, uy)

Fast 2D tracing using Euler's method. It takes at most maxstep with step size ds tracing the vector field given by ux,uy starting from (startx,starty) in the Cartesian grid specified by ranges xGrid and yGrid. Step size is in normalized coordinates within the range [0, 1]. Return footprints' coordinates in (x, y).

FieldTracer.eulerMethod
euler(maxstep, ds, startx, starty, startz, xGrid, yGrid, zGrid, ux, uy, uz)

Fast 3D tracing using Euler's method. It takes at most maxstep with step size ds tracing the vector field given by ux,uy,uz starting from (startx,starty,startz) in the Cartesian grid specified by ranges xGrid, yGrid and zGrid. Return footprints' coordinates in (x,y,z).

FieldTracer.grid_interpMethod
grid_interp(x, y, field, ix, iy)

Interpolate a value at (x,y) in a field. ix and iy are indexes for x,y locations (0-based).

FieldTracer.grid_interpMethod
grid_interp(x, y, z, field, ix, iy, iz, xsize, ysize)

Interpolate a value at (x,y,z) in a field. ix,iy and iz are indexes for x, y and z locations (0-based). xsize and ysize are the sizes of field in X and Y.

FieldTracer.rk4Method
rk4(maxstep, ds, startx, starty, xGrid, yGrid, ux, uy)

Fast and reasonably accurate 2D tracing with 4th order Runge-Kutta method and constant step size ds. See also euler.

FieldTracer.rk4Method
rk4(maxstep, ds, startx, starty, startz, xGrid, yGrid, zGrid, ux, uy, uz)

Fast and reasonably accurate 3D tracing with 4th order Runge-Kutta method and constant step size ds. See also euler.

FieldTracer.select_seedsMethod
 select_seeds(x, y, z; nsegment=(5, 5, 5))

Generate uniform seeding points in the grid range x, y and z in nsegment.

FieldTracer.select_seedsMethod
 select_seeds(x, y; nsegment=(5, 5))

Generate uniform seeding points in the grid range x and y in nsegment. If nsegment specified, use the keyword input, otherwise it will be overloaded by the 3D version seed generation function!

FieldTracer.traceMethod
 trace(fieldx, fieldy, fieldz, startx, starty, startz, gridx, gridy, gridz;
alg=RK4(), kwargs...)

trace(fieldx, fieldy, fieldz, startx, starty, startz, grid::CartesianGrid;
alg=RK4(), maxstep=20000, ds=0.01, gridtype="ndgrid", direction="both")

Stream tracing on structured mesh with field in 3D array and grid in range.

FieldTracer.traceMethod
 trace(mesh::SimpleMesh, vx, vy, xstart, ystart; maxIter=1000, maxLen=1000.)

2D stream tracing on unstructured quadrilateral and triangular mesh.

FieldTracer.trace2d_eulerMethod
 trace2d_euler(fieldx, fieldy, startx, starty, gridx, gridy;
maxstep=20000, ds=0.01, gridtype="ndgrid", direction="both")

Given a 2D vector field, trace a streamline from a given point to the edge of the vector field. The field is integrated using Euler's method, which is faster but less accurate than RK4. Only valid for regular grid with coordinates' range gridx and gridy. Step size is in normalized coordinates within the range [0,1]. The field can be in both meshgrid or ndgrid (default) format. Supporting direction of {"both","forward","backward"}.

FieldTracer.trace2d_rk4Method
 trace2d_rk4(fieldx, fieldy, startx, starty, gridx, gridy;
maxstep=20000, ds=0.01, gridtype="ndgrid", direction="both")

Given a 2D vector field, trace a streamline from a given point to the edge of the vector field. The field is integrated using Runge Kutta 4. Slower than Euler, but more accurate. The higher accuracy allows for larger step sizes ds. Step size is in normalized coordinates within the range [0,1]. See also trace2d_euler.

FieldTracer.trace3d_eulerMethod
 trace3d_euler(fieldx, fieldy, fieldz, startx, starty, startz, gridx, gridy, gridz;
maxstep=20000, ds=0.01)

Given a 3D vector field, trace a streamline from a given point to the edge of the vector field. The field is integrated using Euler's method. Only valid for regular grid with coordinates gridx, gridy, gridz. The field can be in both meshgrid or ndgrid (default) format. Supporting direction of {"both","forward","backward"}.

FieldTracer.trace3d_rk4Method
 trace3d_rk4(fieldx, fieldy, fieldz, startx, starty, startz, gridx, gridy, gridz;
maxstep=20000, ds=0.01)

Given a 3D vector field, trace a streamline from a given point to the edge of the vector field. The field is integrated using Euler's method. Only valid for regular grid with coordinates gridx, gridy, gridz. The field can be in both meshgrid or ndgrid (default) format. See also trace3d_euler.

FieldTracer.trilin_regMethod
trilin_reg(x, y, z, Q)

Trilinear interpolation for x1,y1,z1=(0,0,0) and x2,y2,z2=(1,1,1) Q's are surrounding points such that Q000 = F[0,0,0], Q100 = F[1,0,0], etc.