Dne 13/04/2018 v 21:29
pawc...@gmail.com napsal(a):
> W dniu piątek, 13 kwietnia 2018 17:03:19 UTC+1 użytkownik Poutnik napisał:
>
>> Higher elevation gains are not equal, even if equal.
>>
>> Mild up and down slopes do not matter
> They affect average speed. Part of potential energy will be converted into speed, but losses in energy conversion are unavoidable.
There is the important to know that default up/downhill cutoffs/costs
were tuned by Arndt for the trekking scenarios. It is not intended for
the fastest routes, but pleasant routes, with about effective spending
of energy, as mentioned below, including the losses.
>> and strict penalisation for any
>> altitude gain or lose would penalize routes otherwise better.
> Depending on a definition of betterness.
Any other criteria then altitude profile. :-) There can be routes A and
B, both 20 km long. Altitudes aside, you and/or BRouter would like A
more, but B is about flat, while A is going steadily 100 m up within
first 10 km, and 100 m down in the second half.( just illustration) A
biker catching a train would choose B, while a biker on a 1/more trip or
multiweek journey would choose A.
>>> If I understand correctly altitude loss below downhillcutoff are ignored.
>> And that is exactly the point of the discrimination.
> So it will direct you higher if a downhill is gentler and longer.
Such implication is not included. It may direct you there, not it will.
It will save you from *huge* wasting of energy on fast downhills.
I was thinking similarly as you when I was new to BRouter. Why the
downhill ??? But I have realized the Arndt's defaults are rather clever.
It is not about speed, but about energy. Once I created for myself a
bicycle dynamic model. I have realized the 1.5% downhill is about the
slope where a bicycle *without* pedalling
keeps spead about equal the steady travel speed cca 20 km/h. It is
fully powered by fully used potential energy, you body energy can be
saved and no energy is wasted*).
For downhills 0 - 1.5%, 0-100% energy needed for the steady travel speed
20 km/h is provided by your potential energy. If you want to spend
energy to speed up, it is on you, but you need not to.
The only case where energy is really wasted*) is going downhill >1.5%.
On fast downhills, losing energy by breaking is obvious. Less obvious
is, you waste 9 times more energy per distance against air drag at fast
60 km/h downhill, compared to 20 km/h steady travel speed. By other
words, if your potential energy can power your 60 km/h for 2 km, it can
power you almost 18 km at 20 km/h. It would be less due the more
aerodynamic downhill body position and due constant rolling resistance.
Reasonable**) climbing just accumulates energy you can fully reuse on
mild downhills. The steeper the downhill is, the more of treasured
potential energy is wasted on air drag and breaking.
*) IF we put aside inevitable constant loses like rolling and travel
speed air drag.
**) such reasonable climbing steep range is obviously biker dependent.
Many users including myself use additional uphillcutoff/cost 3.0/70.
Cutoff 3.0 is illustratively about 12 km/h steady climbing, IIRC. It
analogically prefers more steady climbings to gain the same altitude.
>
> 3 km is faster and with zero downhillcutoff 3 km will be cheaper because of distance. With downhillcutoff on 3 km will be less favourable than 300 m/20.9 km (1.4 %) when downhill cost = 60. I prefer first 12 km, then 3 and 20.9 km.
> This is an interesting example, especially when it is a sum of many sections easy to overlook, I think I prefer speed, because a single big one I handpick anyway. I've started considering to test using downhillcutoff in my profiles as secondary cost comparing to elevation gain.
>
For otherwise equivalent routes, 12 km steady mild downhill is always
faster***) ( for the same energy ) or "cheaper" ( for the same time )
then 3 km of steeper downhill and 9 km of flat.
During the latter, a biker spends an extra energy for
- high air drag on the fast 3 km stage
- eventually for braking
- for 100% pedalling effort on the flat, which is near zero about the
downhillcutoff.
All these differences would be ignored by zero downhillcutoff.
No, with zero downhill cutoff, 3 km of 12% + 27 km flat would have the
same cost as 30 km 1.2%.
As only the altitude difference would matter, not the altitude route
profile.
***) Analogically, steady climbing to the same altitude is always faster
or cheaper to non steady one.
--
Poutnik ( The Wanderer )
My Brouter profiles
https://github.com/poutnikl/Brouter-profiles/wiki