{"product_id":"high-accuracy-computing-methods-9781107023635","title":"High Accuracy Computing Methods","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book presents topics in a single source format using unified spectral theory of computing. With developments of DNS and LES, practitioners are rediscovering waves as important in fluid flows, and capturing these numerically is central to high accuracy computing. Analysis of waves and its use in numerical methods in propagating energy at the right velocity (dispersion effects) and with right amplitude (dissipation) are essential. Most industrial codes using Reynolds-averaged NavierStokes equations with turbulence models cannot conceive of capturing waves. The new themes covered in this book are:  Correct error propagation analysis  Practical compact schemes and global analysis tool  Aliasing error and its alleviation  Spurious upstream propagating q-waves  Explanation of the Gibbs phenomenon  New 1D and 2D filters for LES\/DNS without SGS modelling  Anisotropic skewed wave propagation  Development and analysis of dispersion relation preservation (DRP) schemes  Flow instabilities and\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword; Preface; 1. Introduction to scientific computing; 2. Governing equations of fluid mechanics; 3. Classification of quasi-linear partial differential equations; 4. Waves and space-time dependence in computing; 5. Spatial and temporal discretizations of partial differential equations; 6. Solution methods for parabolic partial differential equations; 7. Solution methods for elliptic partial differential equations; 8. Solution of hyperbolic PDEs: signal and error propagation; 9. Curvilinear coordinates and grid generation; 10. Spectral analysis of numerical schemes and aliasing error; 11. Higher accuracy and higher order methods; 12. Introduction to finite volume and finite element methods; 13. Solution of Navier–Stokes equations; 14. Recent developments in discrete computing; Exercises; References.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":53186692612439,"sku":"9781107023635","price":128.25,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/high-accuracy-computing-methods-9781107023635","provider":"Book Curl","version":"1.0","type":"link"}