I will implement a Laplace solver for scattering off two touching cir…#1
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linger-xbl wants to merge 1 commit into
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I will implement a Laplace solver for scattering off two touching cir…#1linger-xbl wants to merge 1 commit into
linger-xbl wants to merge 1 commit into
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…cles. This solution will use a method inspired by the Lightning Laplace Solver, employing rational function approximations with poles placed inside the circular boundaries. I will structure the implementation into four Python scripts: - geometry.py: This will define the circle geometry, incident field, and boundary conditions. - solver_setup.py: This will handle the discretization, including pole placement, collocation points, and construction of the system matrix and RHS vector. - solver.py: This will solve for the pole coefficients and calculate the scattered and total fields. - visualize_field.py: This will generate and save a contour plot of the total potential field around the two circles. The main script for you to run will be visualize_field.py, which will produce total_field_plot.png showing the scattering pattern.
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…cles.
This solution will use a method inspired by the Lightning Laplace Solver, employing rational function approximations with poles placed inside the circular boundaries.
I will structure the implementation into four Python scripts:
The main script for you to run will be visualize_field.py, which will produce total_field_plot.png showing the scattering pattern.