With an emphasis on both theory and experiment, this text describes the behavior of homogeneous and density-stratified fluids over and around topography. The topics include the flow of a homogeneous layer with a free surface--the prototype for conventional hydraulics--the corresponding phenomena in two-layer flows, and a description of the properties of linear waves in stratified fluids in motion. The author applies the aforementioned properties to laboratory and numerical modeling of flow through real complex terrain.

1. Background; 2. The flow of a homogeneous layer with a free surface; 3. Two-layer flows; 4. Waves in stratified fluids; 5. Stratified flow over two-dimensional obstacles; 6. Stratified flow past three-dimensional topography; 7. Applications to practical modelling of flow over complex terrain.

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