The phrase "a compelling manner" is correct and usable in written English.
It can be used to describe the way in which something is presented or communicated in an engaging and persuasive way.
Example: "The speaker delivered her presentation in a compelling manner, capturing the audience's attention from the start."
Alternatives: "an engaging way" or "a persuasive style."
Since the beginning of her case, as she has gone from anonymous senior citizen to high profile Supreme Court plaintiff, she has conducted herself with such authenticity and dignity and in such a compelling manner that she will undoubtedly be the human face of the gay-rights movement — perhaps its own Rosa Parks — for a long time to come.
But while the platforms and the methods of delivery will evolve, it's still all about having interesting content and delivering it in a compelling manner.
In particular, realistic landscape visualisations may offer special advantages in rapidly advancing peoples' awareness of climate change and possibly affecting behaviour and policy, by bringing certain possible consequences of climate change home to people in a compelling manner.
Calo documents in a compelling manner the power of new and developing techniques of manipulation.
Whatever the platform, it's all about having interesting content and delivering it in a compelling manner.
12 Years A Slave is a film that is beautifully shot, wonderfully acted, and told in a compelling manner.
"With an architecture show, it's really difficult to tell a story, and to tell a story in a visually compelling manner," the Getty's Rani Singh, one of the show's co-curators, told me.
Descartes illustrates the problem in a particularly compelling manner in the Meditations, where he uses the dream example to motivate skepticism about sensory-based beliefs about the external world, including his own bodily existence.
In order to present the data on H1N1 evolution in a more compelling manner, we included Figure 5 which shows the extensive mixing of isolates from different years in the phylogenetic tree of H1N1.
For companies, that poses an intriguing opportunity of communicating sustainability to a large audience and a thorny problem of how to do that in an engaging, compelling manner.
