"more general understanding" is correct and usable in written English.
You can use it when you are referring to a broad understanding of a particular concept or idea. For example, "I think more students should have a more general understanding of the basics of economics."
Based on our results, graphs as studied in this paper (and networks in a more general understanding) may emerge as new paradigms to describe and understand complex structures representing the human experience and might be a milestone in developing a more detailed understanding of human functioning.
But it seemed like Maloney was looking for some more general understanding of what value consultants bring.
The lessons learned from Atx1 may lead to a more general understanding of the cell's protective strategies against aggregation.
We also need to have a more general understanding of whether this virus could acquire abilities of airborne transmission in other ways.
The two main challenges of ecological modelling are to yield more general understanding and theory and to provide testable and robust predictions.
Throughout history, muscle research has led to numerous scientific breakthroughs that have brought insight to a more general understanding of all biological processes.
To that end, it is useful to consider how the rewards of engaging with HIV medicine identified in this paper might inform more general understandings of the rewards of pursuing a career in general practice.
Our continued studies on NO signaling have led to a more general molecular understanding of gas sensing mechanisms in biology.
Understanding the role of these arrangements in shaping the interactions among public and private actors is important both for the reform of the global financial architecture, and for our more general theoretical understanding of transformations in sovereignty.
This has led to reliance on model calibration rather than a more general conceptual understanding of the processes that govern the spatial and temporal distributions of water within catchments.
The two remaining items on the problem-solving test were intended to tap students' more general, conceptual understanding of slope and intercept and how they are represented in equations and graphs.
