So the motivation for doing this and it is a research level question - is given all the coordinates of a vortex(or a hurricane) - is the hurricane axisymmetric or not ? As a first step in answering that is to convert to a cylindrical coordinate system where it maybe possible to answer that...
one way to get through this problem and I would like some feedback on the approach I am taking right now - is to convert from a global spherical to a local spherical coordinate system and then convert the local spherical to local cylindrical.
Yes apologies what I meant by grid point is the surface of a sphere.
And yes you are right I was wrong when I wrote that the longitude transforms unchanged. I am looking for the appropriate transformation equation from a global spherical coordinate to a local cylindrical coordinate system...
When you write "vortex and grid point" you mean the center of the vortex and grid point is that correct ? So that defines my radius vector in the local coordinate system. From which I can get the magnitude of the radius vector which is nothing but the local radius. Finally the longitude...
Again really penetrating questions( I am really learning quickly). No because the hurricane moves with time the origin of my local coordinate system is not fixed.
BvU - Thanks for your response. Very good question. So what I do know is that the center of the vortex(hurricane) is the center of the cylindrical coordinate system. So the radius to me is the distance from the center of the vortex to that grid point. I am talking of a coordinate system...
I have the coordinates of a hurricane at a particular point defined on the surface of a sphere i.e. longitude and latitude. Now I want to transform these coordinates into a axisymmetric representation cylindrical coordinate i.e. radial and azimuth angle.
Is there a way to do the mathematical...
Tom - I agree. If you can read my response to Mark I have summarized my efforts so far. My question was how to handle an underflow error and move on.
So if expr1 is a really low value such as -1.0E-45 is it reasonable to flush it to zero and move on ? That is the question I am asking here.
Thank you Mark for the response. I apologize for not adding the code tag. I added the tag now.
Thanks also for the suggestions on the readability.
Yes I already used a debugger (gdb) and could not make much progress with it.I am using gfortran and I added the breakpoint on the offending line. As...
I am using fortran 90 to solve a elliptic partial differential equation numerically(Poisson's equation) and I have encountered a underflow error. All the arrays involved are stored as real data types. The original expression is highlighted in the comments and the my attempt at refactoring into...
I took your advice seriously and I am reading this book - An Introduction To The Geometry and Topology Of Fluid Flows by RL Ricca. I believes it introduces students of fluid mechanics to the world view of modern mathematics.
So the earth(and by that I mean the atmosphere and the land and the ocean) is mathematically from the viewpoint of manifolds an open surface am I correct ?