finite diference time domain on maxwells equations vs finite difference on magnetic and electric field with...
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So I'm just curious you can either write down Maxwell's equations for E and B, or just write wave equations with sources (assuming non zero charge density and current density).
With the FDTD you have a staggered grid, but with wave equation you have a uniform grid. It seems FDTD is dominate, but what makes it so great? Why is it not favorable just to solve the wave equations with standard central differences to approximate time and space derivatives?
Edit: one thing I can think of is for example for 1-D problem FDTD for each field component takes only 4 stencil points, but for wave equation it takes 6. So I guess 33% less computational effort is one reason?
finite-differences electromagnetism
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
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add a comment |
$begingroup$
So I'm just curious you can either write down Maxwell's equations for E and B, or just write wave equations with sources (assuming non zero charge density and current density).
With the FDTD you have a staggered grid, but with wave equation you have a uniform grid. It seems FDTD is dominate, but what makes it so great? Why is it not favorable just to solve the wave equations with standard central differences to approximate time and space derivatives?
Edit: one thing I can think of is for example for 1-D problem FDTD for each field component takes only 4 stencil points, but for wave equation it takes 6. So I guess 33% less computational effort is one reason?
finite-differences electromagnetism
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
$endgroup$
add a comment |
$begingroup$
So I'm just curious you can either write down Maxwell's equations for E and B, or just write wave equations with sources (assuming non zero charge density and current density).
With the FDTD you have a staggered grid, but with wave equation you have a uniform grid. It seems FDTD is dominate, but what makes it so great? Why is it not favorable just to solve the wave equations with standard central differences to approximate time and space derivatives?
Edit: one thing I can think of is for example for 1-D problem FDTD for each field component takes only 4 stencil points, but for wave equation it takes 6. So I guess 33% less computational effort is one reason?
finite-differences electromagnetism
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
$endgroup$
So I'm just curious you can either write down Maxwell's equations for E and B, or just write wave equations with sources (assuming non zero charge density and current density).
With the FDTD you have a staggered grid, but with wave equation you have a uniform grid. It seems FDTD is dominate, but what makes it so great? Why is it not favorable just to solve the wave equations with standard central differences to approximate time and space derivatives?
Edit: one thing I can think of is for example for 1-D problem FDTD for each field component takes only 4 stencil points, but for wave equation it takes 6. So I guess 33% less computational effort is one reason?
finite-differences electromagnetism
finite-differences electromagnetism
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
edited Dec 28 '18 at 10:07
Vogtster
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
asked Dec 28 '18 at 9:57
VogtsterVogtster
299113
299113
add a comment |
add a comment |
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