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## Flows of Viscous Incompressible Fluids

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0007
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Fluid mechanics is concerned with the motion of gases and liquids and their interaction with the surroundings. A fluid can either be inviscid (the viscosity is assumed to be zero) or incompressible ... More

## Models of Incompressible Fluid Flow

*Howard C. Elman, David J. Silvester, and Andrew J. Wathen*

### in Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

- Published in print:
- 2014
- Published Online:
- September 2014
- ISBN:
- 9780199678792
- eISBN:
- 9780191780745
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199678792.003.0001
- Subject:
- Mathematics, Numerical Analysis, Computational Mathematics / Optimization

This preliminary chapter gives a brief introduction to the equations studied in depth in the book, as they are used to model incompressible fluids.

## Material Nonlinearities and Coupled Problems

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Nonlinearities arise from two independent sources: nonlinearity due to changes in the geometry or position of the material particles of a continuum, which is called the geometric nonlinearity, and ... More

## Nonlinear Analysis of Time-Dependent Problems

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0008
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

In this chapter, finite element models are used to solve time-dependent problems with nonlinearities and some standard time approximation schemes are described. All classes of nonlinear problems ... More

## Fluid Kinematics

*David Jon Furbish*

### in Fluid Physics in Geology: An Introduction to Fluid Motions on Earth's Surface and Within its Crust

- Published in print:
- 1997
- Published Online:
- November 2020
- ISBN:
- 9780195077018
- eISBN:
- 9780197560358
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195077018.003.0011
- Subject:
- Earth Sciences and Geography, Geophysics: Earth Sciences

Let us momentarily recall an elementary problem from physics: describing the motion of a ballistic particle. To do this in a formal way first required developing ... More

## Two-Dimensional and Geophysical Fluid Mechanics

*A. Campa, T. Dauxois, D. Fanelli, and S. Ruffo*

### in Physics of Long-Range Interacting Systems

- Published in print:
- 2014
- Published Online:
- October 2014
- ISBN:
- 9780199581931
- eISBN:
- 9780191787140
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199581931.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

In this Chapter the statistical mechanics theory of long-range interactions is applied to hydrodynamics problems. The Euler equation is derived as a limiting case of the two dimensional Navier-Stokes ... More

## Basic Concepts

*Eric B. Kraus and Joost A. Businger*

### in Atmosphere-Ocean Interaction

- Published in print:
- 1995
- Published Online:
- November 2020
- ISBN:
- 9780195066180
- eISBN:
- 9780197560204
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195066180.003.0005
- Subject:
- Earth Sciences and Geography, Oceanography and Hydrology

Both Cartesian tensor and vector notation will be used in this text. The notation xi means the i-component of the vector x = (x1 x2, x3). When used in the argument of ... More

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