docs: restore English comment templates with Korean details for Compact and m_calculate
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ignis 2026-06-02 02:50:24 +00:00
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!> @author Ignis
!> @brief order of accuracy를 compact finite difference scheme (generalized Padé scheme) .
!> @brief High-order compact finite difference scheme (generalized Padé scheme) solver with specific order of accuracy.
!!
!! high-order compact .
!! Compact implicit , implicit
!! tridiagonal matrix solver(stdlu, ptdlu ) .
!! This module handles the generation of tridiagonal/pentadiagonal matrices,
!! LU decomposition calculations, and tridiagonal solver operations (such as stdlu, ptdlu, etc.)
!! for periodic and non-periodic boundary conditions. Since compact finite difference schemes
!! are implicit, these solvers are implemented internally to perform numerical differentiation
!! by solving the implicit relations efficiently.
MODULE Compact
use, intrinsic :: iso_fortran_env, only: real64
IMPLICIT NONE

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!> @author Google DeepMind Team & Ignis
!> @brief (Flow domain) x, y, z compact (Cache) .
!> @brief DNS post-processing mathematical operations and derivatives, matching appropriate compact schemes in X, Y, Z directions for a defined flow domain and optimizing calculations from a cache perspective.
!!
!! 3 .
!! 1 2 (ddx, ddy, ddz ) ,
!! (Cache blocking) (Transpose) (`tp2`) .
!! This module calculates spatial derivatives (first and second spatial derivatives in X, Y, Z directions like ddx, ddy, ddz, etc.)
!! using high-order compact finite difference schemes. It also calculates chemical reaction rates,
!! positive/negative component extraction, and threshold operations, incorporating memory cache
!! efficiency (cache blocking) and transpose optimization operations (`tp2`).
module m_calculate
use, intrinsic :: iso_fortran_env, only: real64