Your code should look something like this.
Sub Simulation()
    Dim i As Long
    Dim Temperature As Long
    Dim WindSpeed As Long
    Dim SolarRadiation As Long
    Dim Humidity As Long
    Dim SimulatedValue As Long
    With Worksheets("DataLoggerValues")
        For i = 1 To 100
            Temperature = .Cells(i, 1).Value
            WindSpeed = .Cells(i, 2).Value
            SolarRadiation = .Cells(i, 3).Value
            Humidity = .Cells(i, 4).Value
            .Cells(i, 5).Value = (Temperature + SolarRadiation / WindSpeed) ^ 2 + Humidity / 37
        Next i
    End With
End Sub
You can also use something like this. Just use that function as a normal excel function. You can then drag this with autofill. You can use it after you add the code to a module. 
Function Simulation(Temperature As Long, WindSpeed As Long, SolarRadiation As Long, Humidity As Long)
    Simulation = (Temperature + SolarRadiation / WindSpeed) ^ 2 + Humidity / 37
End Function
Edit:
An answer to the comment below.
Sub Simulation()
    Dim i As Long
    Dim Temperature As Long
    Dim WindSpeed As Long
    Dim SolarRadiation As Long
    Dim Humidity As Long
    Dim SimulatedValue As Double
    With Worksheets("DataLoggerValues")
        For i = 1 To 100
            Temperature = .Cells(i, 1).Value
            WindSpeed = .Cells(i, 2).Value
            SolarRadiation = .Cells(i, 3).Value
            Humidity = .Cells(i, 4).Value
            '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
            SimulatedValue = (Temperature + SolarRadiation / WindSpeed) ^ 2 + Humidity / 37
            '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
            .Cells(i, 5).Value = SimulatedValue
        Next i
    End With
End Sub
I guess you should read something about what objects are in a programming language. You can start with this:
https://analysistabs.com/excel-vba/objects-properties-methods/
What a problem was with your code is:
Worksheets("DataLoggerValues") is an object. It has some propeties. For example it has a name: "DataLoggerValues".
You can check it with 
Sub Test()
    MsgBox Worksheets(1).Name
End Sub
If its index is one. It may be different. You can check it using another property of that object.
Sub Test()
    MsgBox Worksheets("DataLoggerValues").Index
End Sub
And now we are getting to the problem. Worksheets("DataLoggerValues").Cells(i, 5) is another object. It is a child object (a child class object).
It is not a single value!!! It is an object. It has different properties and methods. This is why: .Cells(i,5) =... doesn't make sense. Are you assigning that value to the .Cells(i,5).Address or .Cells(i,5).Value or maybe some different property? All of them 'store' values. You can read them or change them.
Maybe I should clear out why you have to use SimulatedValue differently.
Well, with those first four cells it is simple. You create a variable, e.g. Dim Temperature As Long. It can store later assigned value somewhere in the computer's memory!!! Just assign some cell's value to it Temperature = .Cells(i, 1).Value. 
You do the same with different variables and perform some calculations. As I did it in the new code, you can store that number (It has to be Double because it has to 'store some numbers after the comma') in another variable (If your Temperature, WindSpeed etc. are not integers then change Long to Double). 
Now you can assign that value to the cells value .Cells(i, 5).Value = SimulatedValue. If you would have added the line SimulatedValue = .Cells(i, 5).Value somewhere before the calculations, you would just assign to the variable (SimulatedValue) a cell's value (which is 0 if the cell is empty or doesn't exist, I am not an expert. If you try to print the value, you get nothing but you can multiply anything by its value and you get 0). If you then write something like SimulatedValue = 5 you just assign new value to the variable. You don't do anything to that cell object (the cell, the cell's value). 
I hope it is clear. I tried to be as concise as I could
I am just a beginner when it comes to vba and I don't know too much about programming so I may have used some terms incorrectly, bear that in mind. Maybe somebody will correct me. :)
Important stuff, when it comes to using floating-point variables (e.g. that Double). Read this:
Whats wrong with this simple 'double' calculation?
Compare double in VBA precision problem
I guess that if you assign that value straight to some cell's value the problem persists, although I haven't read that or try that.
.Cells(i, 5).Value = (Temperature + SolarRadiation / WindSpeed) ^ 2 + Humidity / 37
It may save you some time in the future if you do some calculations with floating-point numbers.