I have found the solution to your problem that is pretty simple (but unfortunately can be time consuming) Luckily it doesn't require much work on your part, that's what computers are for.
Anyways, to solve your problem and make your fluid splash upwards like you want, you have to increase your resolution divisions in the fluid domain settings by a bunch (see image below)
Doing this gives the fluid much more geometry to work with, and enabling it to behave much more like a real liquid.
Here is an example render that I made, using 212 resolution divisions:
As you can see, it looks much closer to your desired effect, it's not perfect, but it's pretty good looking in my opinion.
Now, the downside to doing this is that the more resolution divisions you add, the more time it will take to bake, however, if you just want a still image for your final output, I would only bake the first 50 frames and then find out which one works best for you. The image above was taken on frame 20, so it didn't take long for me.
Lastly, for some optional settings, if you want your liquid to splash up more, you can play with the gravity Z axis settings in the fluid domain settings. (see image below)
It is automatically set to 9.8, (which is about what earth's gravity is) if you make the number higher, things start to get a bit more light and floaty. the render above uses a gravity of -6 on the Z axis.
In conclusion, more resolution divisions on your fluid equals more realistic behavior, I hope this helps you!