• 3 Posts
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Joined 1 年前
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Cake day: 2023年6月15日

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  • The Navier Stokes equations represent the universal laws of physics that can model any fluid in the universe.

    These equations have been around since almost two centuries now but we still understand very little about them. When we have a set of equations we expect the following to happen-

    1. Solution should exist- One should be able to solve the equations

    2. Solution should be unique- Given particular initial conditions, one should obtain an unique solution to the problem. For example if you and your friend pour water into a container in an identical way, keeping all parameters (pouring velocity, direction, geometry and dimensions of the container, etc) identical then you both should get the same flow pattern. Water in both the containers should behave in exactly the same way. If your friend gets air bubbles at a point then you should get them at the exact same point as well.

    3. Solution should be smooth- A finite change in the input should produce a finite change in the output. It should not be erratic and unpredictable.

    Unfortunately, Navier Stokes equations do not satisfy any of the conditions mentioned above.

    https://medium.com/@ases2409/navier-stokes-equations-the-million-dollar-problem-78c01ec05d75

















  • Regarding pfsense…

    Pfsense comes with sensible defaults out of the box. Lawrence Systems has several videos about pfsense on YouTube. I highly recommend his videos of you want to learn the basics.

    If you do go the route of a separate switch and AP, it’s possible to mix and match vendors, but it can be very cumbersome, especially for new people.

    I have had great success with a pfsense box + unifi PoE switch + 2 unifi WiFi 6 APs. Definitely not a cheap option, but it’s been well worth it for me.

    Serve The Home on YouTube has some good videos on some mini PCs that would make great pfsense boxes. A couple even had 2 10gig ports and 3+ 2.5gig Ethernet ports.


  • If you are using IoT devices, you should consider isolating them on a vlan that is separate from your other devices.

    Assuming you don’t care about segregating your network, pretty much any consumer Wi-Fi 6, or Wi-Fi 6e router/AP combo should fit your needs.

    If you are interested in a more feature rich ecosystem, check out Ubiquiti. I’ve been using a couple of unifi access points and a unifi layer 2 poe switch with a pfSense router for 2 years now and I’m extremely happy with it.