<div dir="ltr"><div>Thanks Nathan! Now I don't see that division in the field.<br></div>Still, I think that it does not have the correct values. In this case, with the correct definition of the field, the derivative should be positive for x>0 and negative for x<0.<br></div><div class="gmail_extra"><br><div class="gmail_quote">2016-05-18 20:43 GMT-03:00 Nathan Goldbaum <span dir="ltr"><<a href="mailto:nathan12343@gmail.com" target="_blank">nathan12343@gmail.com</a>></span>:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hi Jose,<div class="gmail_extra"><br><div class="gmail_quote"><span class="">On Wed, May 18, 2016 at 1:17 PM, José Utreras <span dir="ltr"><<a href="mailto:jutreras@das.uchile.cl" target="_blank">jutreras@das.uchile.cl</a>></span> wrote:<br></span><span class=""><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div><div>Hi everyone,<br> I'm having the following problem: I want to
calculate the gradient field of the angular velocity which I have
defined as follows:<br><br>>def _Omega(field,data):<br>> if data.has_field_parameter("bulk_velocity"):<br>> bv = data.get_field_parameter("bulk_velocity").in_units("cm/s")<br>> else:<br>> bv = data.ds.arr(np.zeros(3), "cm/s")<br>> xv = data["gas","velocity_x"] - bv[0]<br>> yv = data["gas","velocity_y"] - bv[1]<br>> center = data.get_field_parameter('center')<br>> x_hat = data["x"] - center[0]<br>> y_hat = data["y"] - center[1]<br>> r = np.sqrt(x_hat*x_hat+y_hat*y_hat)<br>> x_hat /= r**2<br>> y_hat /= r**2<br>><br>> return np.sqrt((xv*y_hat-yv*x_hat)**2)<br></div></div></div></blockquote><div><br></div></span><div>The issue is this line ^</div><div><br></div><div>You're taking the absolute value of z component of the angular velocity, which introduces a discontinuity in the first derivative - that's the artifact you're seeing in your plots. I think you really want to have:</div><div><br></div><div>> return (xv*y_hat-yv*x_hat)<br></div><div><br></div><div>Here's what Omega and the gradient look like with that definition:</div><div><br></div><div><a href="http://i.imgur.com/7ElXqw6.png" target="_blank">http://i.imgur.com/7ElXqw6.png</a><br></div><div><a href="http://i.imgur.com/fjoLXX3.png" target="_blank">http://i.imgur.com/fjoLXX3.png</a><br></div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><span class=""><div dir="ltr"><div><div>>yt.add_field("Omega", function=_Omega,take_log=False, units=r"1/yr",validators=[ValidateParameter('bulk_velocity')])<br><br></div>This is the profile I have got using the SlicePlot tool:<br><br><a href="https://drive.google.com/file/d/0B43CkTTj8OeOcy16TkFaZlBhRE0/view?usp=sharing" target="_blank">https://drive.google.com/file/d/0B43CkTTj8OeOcy16TkFaZlBhRE0/view?usp=sharing</a><br><br>So, it is a function of radius. The density is also a function of radius. The problem is that if I use<br><br>>grad_fields = ds.add_gradient_fields(("gas","Omega"))<br>>slice = yt.SlicePlot(ds, 'z', "Omega_gradient_x")<br><br></div>I get this<br><div><br><a href="https://drive.google.com/file/d/0B43CkTTj8OeOLUxGVUJSQ253TE0/view?usp=sharing" target="_blank">https://drive.google.com/file/d/0B43CkTTj8OeOLUxGVUJSQ253TE0/view?usp=sharing</a><br><br>the sign should only change across x=0. I did the same for the density field getting the correct behaviour. <br>I've also tried to define the gradient field <br><br>>def _vorticity_2(field, data):<br>> f = (data[ftype, "Omega"][sl_right,sl_center,sl_center] -<br>> data[ftype, "Omega"][sl_left,sl_center,sl_center]) \<br>> / (div_fac*just_one(data["index", "dx"]))<br>><br>> new_field = data.ds.arr(np.zeros_like(data[ftype, "velocity_z"],<br>> dtype=np.float64),<br>> f.units)<br>> new_field[sl_center, sl_center, sl_center] = f<br>> return new_field<br><br>But I got the same results. <br><br>If I'm doing something wrong please let me know.<br><br>Cheers!<br><br>Jose Utreras <br></div></div>
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