This is the core course of KCL:

choose a minimum of 5 modules (max of 8) from below &

The remaining modules can be drawn from a range of theoretical physics or pure mathematics MSc modules available in London, the Financial Mathematics MSc in King's. I also believe you can choose computing modules.

- Advanced General Relativity
- Advanced Quantum Field Theory
- Foundations of Mathematical Physics
- Lie Groups & Lie Algebras
- Low-Dimensional Quantum Field Theory
- Manifolds
- Mathematical Methods for Theoretical Physics
- Quantum Field Theory
- Quantum Mechanics II
- Spacetime Geometry & General Relativity
- Standard Model Physics & Beyond
- String Theory & Branes
- Supersymmetry

Edinburgh follows a similar structure as well.

The physics modules will probably not be hugely relevant for industry but will require quite difficult maths especially in linear algebra, calculus. Some of the modules would require high performance computing simulations ie. like you say, taking a model and getting on with the coding and design

None of those modules would require high performance computing simulations. None of them will even require writing a single line of code. You will be given a set of lecture notes, and expected to memorise them verbatim for your exams. Most of the lecturers in these modules wouldn't know a line of code if it smacked them in the head, nevermind expect students to know what one was.