Spatial Gradient
A spatial gradient is a gradient whose components are spatial derivatives, i.e., rate of change of a given scalar physical quantity with respect to the position coordinates in physical space.
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Homogeneous regions have spatial gradient vector norm equal to zero. When evaluated over vertical position (altitude or depth), it is called vertical derivative or vertical gradient; the remainder is called horizontal gradient component, the vector projection of the full gradient onto the horizontal plane.
Examples:
- Biology
- Concentration gradient, the ratio of solute concentration between two adjoining regions
- Potential gradient, the difference in electric charge between two adjoining regions
- Fluid dynamics and earth science
See also
References
- Kreyszig, E. (1999). Advanced Engineering Mathematics. Wiley. ISBN 978-0-471-15496-9. Retrieved 2023-08-27.
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