From jim@euclidcap.com Sat Oct 18 20:17:13 2014 Date: Sun, 19 Oct 2014 00:10:46 +0000 From: Jim Simons To: Christian White Cc: Tony Phillips , Qiangqiang Shi , Xiaolin Li Subject: Re: final graphic That is a beautiful diagram, but I am not an expert on the questions you ask and hope another of the addressees can help you. Again, I love the medallion.  Jim On Oct 18, 2014, at 4:51 PM, "Christian White" wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. [ Part 2, "OCT 18 Navier Stokes cropped with scaled arrows-1.jpeg" ] [ Image/JPG (Name: "OCT 18 Navier Stokes cropped with scaled ] [ arrows-1.jpeg") 220 KB. ] [ Unable to print this part. ] [ Part 3, "P1100681.JPG" Image/JPG (Name: "P1100681.JPG") 196 KB. ] [ Unable to print this part. ] From cswhiteartist@optonline.net Sat Oct 18 20:21:54 2014 Date: Sat, 18 Oct 2014 19:51:41 -0400 From: Christian White To: Tony Phillips , Jim Simons , Qiangqiang Shi , Xiaolin Li Subject: final graphic I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. [ Part 2, Image/JPG (Name: "OCT 18 Navier Stokes cropped with scaled ] [ arrows-1.jpeg") 220 KB. ] [ Unable to print this part. ] [ Part 3, Image/JPG (Name: "P1100681.JPG") 196 KB. ] [ Unable to print this part. ] From xiaolin.li@stonybrook.edu Sat Oct 18 21:21:01 2014 Date: Sat, 18 Oct 2014 18:20:57 -0700 From: Xiaolin Li To: Christian White Cc: Tony Phillips , Jim Simons , Qiangqiang Shi Subject: Re: final graphic The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. From shiqiangqiang000@gmail.com Sat Oct 18 22:34:55 2014 Date: Sat, 18 Oct 2014 22:34:51 -0400 From: Qiangqiang Shi To: Xiaolin Li Cc: Christian White , Tony Phillips , Jim Simons Subject: Re: final graphic For current figure :         density = 1.2         velocity = 1.0         characteristic_length = 12         viscosity = 1e-4 so the Reynolds number is          Re = (density*velocity*characteristic_length) / (viscosity) = 1.44e5 = 144000 Best, Qiangqiang On Sat, Oct 18, 2014 at 9:20 PM, Xiaolin Li wrote: The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. From jim@euclidcap.com Sat Oct 18 23:43:41 2014 Date: Sun, 19 Oct 2014 03:43:34 +0000 From: Jim Simons To: Qiangqiang Shi Cc: Xiaolin Li , Christian White , Tony Phillips Subject: Re: final graphic I'm the last formula you write e5, but calculate it as if it was. 10 to the 5th. Is that what you meant? Jim On Oct 18, 2014, at 7:34 PM, "Qiangqiang Shi" wrote: For current figure :         density = 1.2         velocity = 1.0         characteristic_length = 12         viscosity = 1e-4 so the Reynolds number is          Re = (density*velocity*characteristic_length) / (viscosity) = 1.44e5 = 144000 Best, Qiangqiang On Sat, Oct 18, 2014 at 9:20 PM, Xiaolin Li wrote: The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. From xiaolin.li@stonybrook.edu Sun Oct 19 08:09:07 2014 Date: Sun, 19 Oct 2014 08:09:03 -0400 From: Xiaolin Li To: Qiangqiang Shi Cc: Christian White , Tony Phillips , Jim Simons Subject: Re: final graphic My recollection is that JD's run had a substantially smaller Reynolds number. On Sat, Oct 18, 2014 at 10:34 PM, Qiangqiang Shi wrote: For current figure :         density = 1.2         velocity = 1.0         characteristic_length = 12         viscosity = 1e-4 so the Reynolds number is          Re = (density*velocity*characteristic_length) / (viscosity) = 1.44e5 = 144000 Best, Qiangqiang On Sat, Oct 18, 2014 at 9:20 PM, Xiaolin Li wrote: The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. From shiqiangqiang000@gmail.com Sun Oct 19 08:38:03 2014 Date: Sun, 19 Oct 2014 08:37:59 -0400 From: Qiangqiang Shi To: Xiaolin Li Cc: Christian White , Tony Phillips , Jim Simons Subject: Re: final graphic The input file is on alpha  alpha:/export/home/qqshi/Work/FronTier++s/VectorImage/FronTier++_09_10_14/parac hute2d/in-circle_11 On Sun, Oct 19, 2014 at 8:09 AM, Xiaolin Li wrote: My recollection is that JD's run had a substantially smaller Reynolds number. On Sat, Oct 18, 2014 at 10:34 PM, Qiangqiang Shi wrote: For current figure :         density = 1.2         velocity = 1.0         characteristic_length = 12         viscosity = 1e-4 so the Reynolds number is          Re = (density*velocity*characteristic_length) / (viscosity) = 1.44e5 = 144000 Best, Qiangqiang On Sat, Oct 18, 2014 at 9:20 PM, Xiaolin Li wrote: The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this. From xiaolin.li@stonybrook.edu Sun Oct 19 10:47:04 2014 Date: Sun, 19 Oct 2014 07:47:00 -0700 From: Xiaolin Li To: Qiangqiang Shi Cc: Christian White , Tony Phillips , Jim Simons Subject: Re: final graphic The length should use the radius, not the domain size, therefore the Reynolds number should be 1/6 of your value which is 24000. On Sun, Oct 19, 2014 at 5:37 AM, Qiangqiang Shi wrote: The input file is on alpha  alpha:/export/home/qqshi/Work/FronTier++s/VectorImage/FronTier++_09_10_14/parac hute2d/in-circle_11 On Sun, Oct 19, 2014 at 8:09 AM, Xiaolin Li wrote: My recollection is that JD's run had a substantially smaller Reynolds number. On Sat, Oct 18, 2014 at 10:34 PM, Qiangqiang Shi wrote: For current figure :         density = 1.2         velocity = 1.0         characteristic_length = 12         viscosity = 1e-4 so the Reynolds number is          Re = (density*velocity*characteristic_length) / (viscosity) = 1.44e5 = 144000 Best, Qiangqiang On Sat, Oct 18, 2014 at 9:20 PM, Xiaolin Li wrote: The whole problem is dependent on a single variable, that is the Reynolds number. Different Reynolds number give different pattern. I think Qngqiang can give you the Reynolds number of this one. I can also ask for Reynolds number of JD Kim. He is at Texas now. On Sat, Oct 18, 2014 at 4:51 PM, Christian White wrote: I thought you might like to see the final graphic that I am using for the Navier-Stokes diagram. I have redrawn it with vector tools, scaling the arrow head and stroke weight to the vector length. The arrows are still smaller than I would have liked, but I think the added density of this one gives a much better sense of movement than the others and I am confident it will look well when carved. There is quite a bit of overlapping, but I will delineate the arrow heads, so that the sample point is clear, as demonstrated in this little piece of stone in the second attachment. A few of the arrows will not have their full stroke length delineated, but i think it can be inferred from the weight. It does remind me a little of that M. C. Escher print (the fishes and geese), and I like the (sideways) allusion to Valentine's Day  and Mickey Mouse. I am a little puzzled as to why the eddies have so much more comparative velocity in this than in the other one, by the Korean Physicist, I forget his name. Is it because the overall velocity and passage of time are less? The diagrams are very similar otherwise. Anyway, I am happy that it came out this way, as it is what I was trying to get to happen. Thanks, everybody, for your help with this.